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?
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