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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi bobbym,

The solutions #5155 and #5156 are correct. Marvelous!

#5157. What is the ratio of the area of a square to that of the square drawn on its diagonal?

#5158. What is the ratio of the areas of two squares, one having its diagonal double than the other?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,354

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi bobbym,

The solution #5158 is correct. Excellent!

Regarding #5157, you got it right! I shall wait for your solution!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,354

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi bobbym,

The solution #5157 is correct. Excellent!

#5159. If the ratio of areas of two squares is 225:256, then the what is the ratio of their perimeters?

#5160. If each side of a square is increased by 50%, then what is the ratio of the area of the resulting square to that of the given square?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi bobbym,

#5161. What happens to the area of a square when its side is halved?

#5162. If the area of a square increases by 69%, then the side of the square increases by what percent?

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,354

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi bobbym,

The solutions #5161 and #5162 are correct. Good work, bobbym!

#5163. If the diagonal of a square is made 1.5 times, then what is the ratio of the areas of two squares?

#5164. The length and breadth of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of the square by what percent?

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,354

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi bobbym,

The solutions #5163 and #5164 are correct. Fantastic!

#5165. The length of one pair of opposite sides of a square is increased by 5 centimeters on each side, the ratio of the length and the breadth of the newly formed rectangle becomes 3:2. What is the area of the original square?

#5166. If the side of a square is increased by 5 centimeters, the area inreases by 165 square centimeters. What is the side of the square?

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,354

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi bobbym,

The solutions #5165 and #5166 are correct. Brilliant!

#5167. The difference of the areas of two squares drawn on two line segments of different lengths is 32 square centimeters. Find the length of the greater line segment if one is longer than the other by 2 centimeters.

#5168. The areas of a square and a 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 by 3 centimeters. Find the perimeter of the rectangle.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,354

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi bobbym,

The solutions #5167 and #5168 are correct. Marvelous, bobbym!

#5169. A tank is 25 meters long, 12 meters wide and 6 meters deep. What is the cost of plastering its walls and bottom at 75 cents per square meter?

#5170. The dimensions of a room are 10 m x 7 m x 5 m. There are two doors and three windows in the room. The dimensions of the door are 1 m x 3 m. One window is of size 2 m x 1.5 m and the other are of size 1 m x 1.5 m. Find the cost of painting the walls at $3 per square meter.

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi bobbym,

The problems #5169 and #5170 are unanswered. Please note.

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

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**KCA****Member**- Registered: 2014-08-01
- Posts: 6

hi Ganesh,

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,354

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi KCA and bobbym,

#5171. The cost of papering the four walls of a room is $475. Each one of the length, breadth and height of another room is double that of this room. Find the cost of the walls of this new room.

#5172. The base of a triangle is 15 centimeters and the height is 12 centimeters. What is the height of another triangle of double the area , having the base 20 centimeters?

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

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**KCA****Member**- Registered: 2014-08-01
- Posts: 6

Hi Ganesh,

*Last edited by KCA (2014-08-02 19:18:11)*

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi KCA,

The solutions #5171 and #5172 are correct. Brilliant!

#5173. The area of a right-angled triangle is 40 times its base. What is its height?

#5174. The sides of a triangle are 5 centimeters, 12 centimeters and 13 centimeters. Find its area.

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,354

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi bobbym,

The solutions #5173 and #5174 are correct. Good work!

#5175. The sides of a triangle are in the ratio

. If the perimeter is 52 centimeters, then what is the length of the smallest side?#5176. The area of a triangle is 216 square centimeters and its sides are in the ratio 3:4:5. Find the perimeter of the triangle.

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

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**KCA****Member**- Registered: 2014-08-01
- Posts: 6

Hi Ganesh,

*Last edited by KCA (2014-08-03 18:08:52)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,354

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,930

Hi KCA and bobbym,

The solutions #5175 and #5176 are correct. Brilliant, KCA and bobbym!

#5177. 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 midpoints of the sides of this triangle.

#5178. One side of a right-angled triangle is twice the other, and the hypotenuse is 10 centimeters. Find the area of the triangle.

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

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