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The perimeter of a rectangle is 34 inches, and its area is 60 square inches. What is the product of the lengths of the diagonals, in square inches?

 Nov 7, 2019
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Side =x

Length = 17-x

 

area = side x length

x (17-x) =60

17x-x^2 =60

-x^2+17x-60=0

x^2-17x+60 = 0

(x-12)(x-5)                              x =12     and the side = 17-x = 5     

 

Pythagorean theorem to find ONE diagonal     122+ 52 =d2         so d = 13     13 x 13 = 169 in2

 Nov 7, 2019

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