A rectangular painting has a diagonal measure of 20 inches and an area of 192 square inches. use the formula for the area of a rectangle and the pythagorean theorem to find the length and width of the painting.
let the length be l the width width will be: w=192/w but Pythagorean theorem is given by: c^2=a^2+b^2 thus plugging in the values we get: 20²=w²+(192/w)^2 400=w²+36864/w² solving the above we get: w=-16, w=-12, w=12, w=16 thus the dimensions are 12 inches by 16 inches
