Question

A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8. Which expression represents the length of the garden?

1. 2x + 2

2. 3x + 4

3. 6x + 8

4. 8x + 8 – 2x

Answer 1

2. 3x + 4

Explanation:

What we know:

w=x

Perimeter (p) = 8x+8

Formula for perimeter p =2(L+W)

8x+8 = 2(L+W)

L+W is half, so

L+W = 4x+4

Substract W on both sides;

L = 4x+4 -W

We know that W = x

So

L= 4x+4-x

4x-x= 3x

L= 3x+4