Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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

.

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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.

KerimF

Member

From: Aleppo-Syria

Registered: 2018-08-10

Posts: 240

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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Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

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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.

KerimF

Member

From: Aleppo-Syria

Registered: 2018-08-10

Posts: 240

Re: Mensuration

Thank you for the hint.

---

Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

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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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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?

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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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

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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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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?

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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.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: Mensuration

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Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.

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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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,410

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.