Question

A rectangular photograph has an area of 48 square inches. If the width of the photograph is 8 inches less than its height, find the dimensions of the photograph
The height of the photograph is

Answer 1

Answer:

H= 12, W=4

Step-by-step explanation:

let H = height

let H-8 = width

We know that the area of the rectangle is A = H*W

now we substitute the statements we have made:

H(H-8) = 48

H^2 - 8H - 48 = 0

Simplify:

(H-12)(H+4) = 0

So now we have 2 options H = -4 or H = 12, having a -ve number as height does not make sense so we use 12.

We know that width is H-8 so now we do 12-8 which is 4.

Therefore width is 4 and height is 12.