Question

MATH HELP 10 PTS

A rectangular gardens length is 6 feet longer than it’s width. if the perimeter can be represented by P(x)= 4x + 12.

What is the width and length of the garden if the perimeter is 32 ft?

Answer 1

The width is 5 and the length is 11

Explanation:

The formula for perimeter is

P = 2(l+w)

We know the perimeter is 32

32 = 2 (l+w)

Divide each side by 2

32/2 = 2(l+w)

16 = l+w

We know the length is 6 longer than the width

l = w+6

16 = w+6+w

Combine like terms

16 = 2w+6

Subtract 6 from each side

16-6 = 2w+6-6

10 = 2w

Divide by 2

10/2 = 2w/2

5 =w

The length is

l = w+6

5+6 = 11