Question

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.

Answer 1

Area of rectangle is given by:
Area=length*width

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