# Thread: Rectangle and a Square.

1. Good post? |

## Rectangle and a Square.

Do the rectangle ABCD and the square EFGH have the same area?

ST 1 : AC = EG, AB = 1/2 * EH.
ST 2 : The area of the triangle ABC is not equal to the area of the triangle EFG.

I'll post the OA in a while.

2. Good post? |
D I guess...
Because the second statement says that the areas are unequal.
And the using the first one, you can definitely get the ratio of the areas.
I din't bother to calculate it though ;-)

3. Good post? |
Yeah, D it is. You can express the sides of the rectangle through the sides of the square and get the ratio of the areas...

4. Good post? |
Agreed . OA is D!

5. Good post? |
Agreed with D.

6. Good post? |
Originally Posted by alex_cute
Yeah, D it is. You can express the sides of the rectangle through the sides of the square and get the ratio of the areas...

B ..i think
here is what i get from stmt #1

AB^2 + BC^2 = EF^2 + EH^2
reducing
3/4 EH^2 = BC^2 - EF^2

This doesnt get any close to comparing areas --UNLESS
i am missing something..let me know

7. Good post? |
Geeky, EFGH is square. So, EH=EF. You get the ratio of the other sides.

8. Good post? |
Geeky, EFGH is square. So, EH=EF. You get the ratio of the other sides.
thanks Adrish --i missed on that detail