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#751 2018-08-11 14:22:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M #385. The perimeter of a square and a circular field are the same. If the area of the circular field is 3850 square meters, what is the area (in square meters) of the square? Use

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#752 2018-08-11 18:26:39

KerimF
Member
From: Aleppo-Syria
Registered: 2018-08-10
Posts: 155

Re: Mensuration

M #385

If the perimeters are equal

Ss = Sc * π / 4

where:
Ss = the area of the square field
Sc = the area of the circular field

Therefore:
Ss= 3850 * (22/7) / 4 = 3025 square meters

Last edited by KerimF (2018-08-11 18:29:39)

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#753 2018-08-11 19:57:31

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

(Please use hide tag to conceal the answers)

[hide=Solution M # 385]required answer[ /hide]

The solution M # 385 is correct. Excellent, KerimF!

M # 386. The area of a square and rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 centimeters and the breadth is less 3 centimeters. Find the perimeter of the rectangle.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#754 2018-08-12 04:20:02

KerimF
Member
From: Aleppo-Syria
Registered: 2018-08-10
Posts: 155

Re: Mensuration

Thank you for the hint.

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#755 2018-08-12 15:07:51

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

Thanks for correcting the note on solution M # 385, KerimF!

The solution M # 386 is correct. Neat work, KerimF!

M # 387. If a wire is bent into the shape of a square, the area of the square is 81 square centimeters. Find the area when the wire is bent into a semicircular shape.

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#756 2018-08-13 15:00:44

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M # 388. The perimeter of a rectangle is 160 meters and the difference of the two sides is 48 meters. Find the side of a square whose area is equal to the area of this rectangle.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#757 2018-08-14 15:33:23

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M # 389. If the length of a rectangle is increased by increased by 25% and the width is decreased by 20%, what effect would it have on the area?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#758 2018-08-15 14:28:33

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M # 390. If the length of a rectangle is decreased by 10% and its breadth is increased by 10%, by what percent is its area change?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#759 2018-08-16 15:37:33

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

.

M # 391. If the circumference of a circle is reduced by 50%, then its area will be reduced by how many percent?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#760 2018-08-17 15:21:42

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

.

M # 392. If the altitude of a triangle is increased by 10% while its area remains the same, its corresponding base will have to be decreased by how many percent?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#761 2018-08-18 15:10:37

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M # 393. Each side of a rectangular field is diminished by 40%. By how many percent is the area of the field diminished?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#762 2018-08-19 14:27:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

.

M # 394. If the diameter of a circle is increased by 8%, then its area is increased by how many percent?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#763 2018-08-20 15:00:25

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

.

M # 395. One side of a square is increased by 30%. To maintain the same area, the other side will have to be decreased by how many percent?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#764 2018-08-21 14:02:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M # 396. A wire of length 44 centimeters is first bent to form a circle and then re-bent to form a square. Find the difference of the two enclosed areas. Use

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#765 2018-08-22 14:23:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M # 397. The area of a rhombus is 256 square centimeters and one of its diagonals is twice the other in length. Find the length of its larger diagonal.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#766 2018-08-23 15:11:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M #398. The perimeter of a sheet of paper in the shape of a quadrant of a circle is 75 centimeters. Find its area. Use

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#767 2018-08-24 15:10:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M # 399. If the area of an equilateral triangle is 'a' and the height 'b', find the value of

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#768 2018-08-25 14:26:27

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

.

M # 400. The difference between the circumference and the diameter of a circle is 150 meters. Find the radius of the circle. Use

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#769 2018-08-26 14:47:44

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M # 401. A piece of wire when bent to form a circle will have a radius of 84 centimeters. If the wire is bent to form a square, what would be the length of the square? Use

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#770 2018-08-27 15:07:19

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M # 402. The sides of a triangle having area 7776 square centimeters are in the ratio 3:4:5. Find the perimeter of the triangle.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#771 2018-08-28 14:02:06

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M # 403. The diameter of each wheel of a car is 70 centimeters. If each wheel rotates 400 times per minute, find the speed of the car in kilometers per hour. Use

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#772 2018-08-29 15:19:12

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

M # 404. How many tiles, each 4 decimeter square, will be required to cover the floor of a room 8 meter long and 6 meter wide?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#773 2018-08-29 18:00:59

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: Mensuration


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

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#774 2018-08-29 20:18:36

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi.

Good attempt, Monox D. I-Fly!

M # 405. The floor of a corridor is 100 meter long and 3 meter wide. Find the cost of covering the floor with carpet 50 centimeter wide at the rate of $15 per meter.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#775 2018-08-30 14:36:33

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Mensuration

Hi,

.

M # 406. If an isosceles triangle has area is 1 square unit, what is its perimeter?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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