SOLUTION: Find the area. ABCD∼EFGH The area of rectangle ABCD is 72 inches^2 and a diagonal is 12 inches. The diagonal of rectangle EFGH is 22 inches. Find the area of rectangle E

Algebra ->  Surface-area -> SOLUTION: Find the area. ABCD∼EFGH The area of rectangle ABCD is 72 inches^2 and a diagonal is 12 inches. The diagonal of rectangle EFGH is 22 inches. Find the area of rectangle E      Log On


   

Question 1089101: Find the area.
ABCD∼EFGH The area of rectangle ABCD is 72 inches^2 and a diagonal is 12 inches. The diagonal of rectangle EFGH is 22 inches. Find the area of rectangle EFGH. Round to the nearest inch^2 if necessary

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Dimensions of the smaller rectangle, x and y.
Dimensions of larger rectangle, kx and ky.

system%28xy=72%2Cx%5E2%2By%5E2=12%5E2%29

system%28k%5E2%2Axy=U%2Ck%5E2%2Ax%5E2%2Bk%5E2%2Ay%5E2=22%5E2%29
%28k%5E2%29%28x%5E2%2By%5E2%29=22%5E2
k%5E2%2A12%5E2=22%5E2
k%5E2=%2822%5E2%29%2F%2812%5E2%29
k=22%2F12
highlight_green%28k=11%2F6%29 and highlight_green%28k%5E2=121%2F36%29.

Area of rectangle EFGH is highlight%28%28121%2F36%2972=highlight%28242%29%29.