The perimeter of a rectangle is 46 in and the diagonal is 17 in. Find the area of the rectangle.

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Mathematics

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26 December, 22:13

The perimeter of a rectangle is 46 in and the diagonal is 17 in. Find the area of the rectangle.

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Answers (1)

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Celia Bird · Answer 1

P=2 * (L+l) = 46

L+l=46:2

L+l=23

(L+l) ^2=529

(L^2+l^2) + 2l*L=529

D = V L^2+l^2 = 17

L^2+l^2=289

so 289+2l*L=529

2l*L=529-289=240

l*L=240:2

A=120