Question

The length of a rectangle is 1 inch more than twice it’s width. If the perimeter of the rectangle is 20 inches, what are the dimensions of the rectangle?

Answer 1

Explanation:

P = 2(L + W).....perimeter of a rectangle formula

P = 20

L = 2W + 1

20 = 2(2W + 1 + W)

20 = 2(3W + 1)

20 = 6W + 2

20 - 2 = 6W

18 = 6W

18/6 = W

3 = W <==== the width is 3 inches

L = 2W + 1

L = 2(3) + 1

L = 6 + 1

L = 7 <===== the length is 7 inches

Answer 2

Width = 3 inches

Length = 7 inches

Explanation:

L = 1 + 2W

P = 20 inches

P = 2L + 2W

2L + 2W = 20 inches

Fill in known value (length)

2(1 + 2W) + 2W = 20 inches

Solve

2 + 4W + 2W = 20 inches

6W = 18 inches

Simplify

W = 3 inches

Width = 3 inches

Length = 2(3) + 1 = 7 inches

:)