A rectangular painting has a diagonal measure of 13 inches a

A rectangular painting has a diagonal measure of 13 inches and an area of 60 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting. The longer side, the length, is inches, and the shorter side, the width, is inches.

Solution

Let l be the length and w be the width

According to pythagoras theorem

l²+w²=169

And area= length *width

l w=60

l=60/w

(60/w)²+w²=169

width=+-5, +-12=5,12

When w=5inches, l=12inches

when w=12inches, l =5inches