Question

The length of a rectangle is 6 feet longer than the width if the perimeter is 108 feet find the length and the width of the rectangle

Answer 1

w = 24 ft.

l = 30 ft.

Explanation:

The formula for perimeter is P = 2l + 2w, where l is the length and w is the width.

Since the length is 6 ft longer than the width, our formula for length is l = w + 6

We can leave length in terms of width and plug it into the perimeter:

`108=2(w+6)+2w\\108=2w+12+2w\\108=4w+12\\96=4w\\w=24`

Now that we've found the width, we can find the width using the second formula:

`l=24+6\\l=30`