Question

The garden’s length (l) is eight feet longer that the width (w). If the perimeter is 50 feet, choose the best equation for the situation.

a) 4w + 16 = 50
b) (w + 8) (w) = 50
c) 4w + 8 = 50

Answer 1

a) 4w + 16 = 50.

Explanation:

The garden's length is obviously 8 feet longer than the width. If width were represented by w, the length would be w + 8.

We are calculating the perimeter, which is 2 times the length plus 2 times the width. That adds up to be 50.

2(w) + 2(w + 8) = 50

2w + 2w + 16 = 50

4w + 16 = 50

So, the answer is a) 4w + 16 = 50.

Hope this helps!

Answer 2

50 = 4w + 16

Explanation:

w = width

l = w+8

The perimeter is given by

P = 2 (w+l)

P = 2 ( w + w+8)

Combine like terms

P = 2 (2w+8)

We know the perimeter and distributing

50 = 4w + 16