Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: 10 second questions

Hi,

#6513. Lengths of three sides of a right angled triangle are (x - 2) centimeters, x centimeters, and (x + 2) centimeters, find the value of x.

---

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: 48,422

Re: 10 second questions

Hi,

#6514. If the side perpendicular to each other of a right-angled triangle are 15 centimeters and 8 centimeters, 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: 48,422

Re: 10 second questions

Hi,

#6515. The area of an isosceles triangle ABC with AB = AC and altitude = 3 centimeters is 12 square centimeters. 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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: 10 second questions

Hi,

#6516. If the altitude of an  equilateral triangle is

, then 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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: 10 second questions

Hi,

#6517. What is the area of a right-angled isosceles triangle whose hypotenuse is

centimeters?

---

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: 48,422

Re: 10 second questions

Hi,

#6518. If the area of the triangle is 1176 square centimeters and the ratio, base : corresponding altitude, is 3:4. Find the altitude 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: 48,422

Re: 10 second questions

Hi,

#6519. The base of a triangle is 15 centimeters and the height is 12 centimeters. Find the height of another triangle of double the area having the base 20 centimeters.

---

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: 48,422

Re: 10 second questions

Hi,

#6520. The sides of a triangle are 3 centimeters, 4 centimeters, and 5 centimeters. Find the area (in square centimeters) of the triangle formed by joining the mid-points of this 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: 48,422

Re: 10 second questions

Hi,

#6521. The hypotenuse of a right-angled isosceles triangle is 5 centimeters. Find its 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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: 10 second questions

Hi,

#6522. The lengths of a triangle are  are in the ratio 2:3:4. The perimeter of the triangle is 18 centimeters. Find the area of the triangle in square centimeters.

---

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: 48,422

Re: 10 second questions

Hi,

#6523. The height of an equilateral triangle is 15 centimeters. Find the area 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: 48,422

Re: 10 second questions

Hi,

#6524. The sides of a triangle are 16 centimeters, 12 centimeters, and 20 centimeters. Find its 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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: 10 second questions

Hi,

#6525. The height of a triangle is increased by 40% and the base  is increased by 10%. The area of the triangle increases by how much percentage?

---

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: 48,422

Re: 10 second questions

Hi,

#6526. Find the area of a quadrilateral formed by joining the mid-points of the sides of the sides of the quadrilateral of area 160 square centimeters.

---

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: 48,422

Re: 10 second questions

Hi,

#6527. If the diagonals of two squares are in the ratio 2:5, find the ratio of the areas.

---

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: 48,422

Re: 10 second questions

Hi,

#6528. The perimeter of two squares are 24 centimeters and 32 centimeters. Find the perimeter (in centimeters) of a third square equal in area to the sum of the areas of these squares.

---

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: 48,422

Re: 10 second questions

Hi,

#6529. If each edge of a square is doubled, then find the increase percentage in its 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.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: 10 second questions

---

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: 10 second questions

Hi,

The solution #6529 is perfect. Neat work, Monox D. I-Fly!

#6530. (a) The length and the breadth of the rectangle are 8 centimeters and 5 centimeters respectively. Find the perimeter of the rectangle.

(b) Find the area of the rectangle whose length and breadth are 10 centimeters and 4 centimeters respectively.

---

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: 48,422

Re: 10 second questions

Hi,

#6531. The length of a rectangular hall is 5 meters more than its breadth. The area of the hall is 750 square meters. Find the length of the hall.

---

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: 48,422

Re: 10 second questions

Hi,

#6533. If the length and breadth of a rectangle are in the ratio 3:2 and its perimeter is 20 centimeters, find the area of the rectangle is square centimeters.

---

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: 10 second questions

---

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: 10 second questions

Hi,

The solution #6533 is perfect. Excellent, Monox D. I-Fly!

#6534. The length and breadth of a rectangle are increased by 20% and 25% respectively. Find the increase in the area of the resulting 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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: 10 second questions

Hi,

#6535. A path of uniform width runs round the inside of a rectangular field 38 meters long and 32 meters wide. If the path occupies 600 square meters, find the width of the path.

---

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: 48,422

Re: 10 second questions

Hi,

#6536. A parallelogram has sides 15 centimeters and 7 centimeters long. The length of one of the diagonals is 20 centimeters. Find the area of the parallelogram.

---

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.