Question

the dimensions of a rectangular photograph are even consecutive integers. the area of the photograph is 80 square inches. find the lengths of each side.

Answer 1

The side lengths are 8 inches and 10 inches.

Explanation:

Let l be the length and w be the width. w = l - 2.

We then have:

`l(l - 2) = 80`

`{l}^(2) - 2l = 80`

`{l}^(2) - 2l - 80 = 0`

`(l - 10)(l + 8) = 0`

`l = 10`

`w = l - 2 = 10 - 2 = 8`