The perimeter of a rectangle is twice the

sum of its length and its width. The

perimeter is 40 meters and its length is 2

meters more than twice its width. What is it's length?

The length is 14 m.

Step-by-step explanation:

length = L

width = W

perimeter = P

"The perimeter of a rectangle is twice the sum of its length and its width."

P = 2 (L + W)

"The perimeter is 40 meters"

40 = 2 (L + W)

"and its length is 2 meters more than twice its width."

L = 2W + 2

Replace L with 2W + 2 in equation 40 = 2 (L + W):

40 = 2 (2W + 2 + W)

40 = 2 (3W + 2)

20 = 3W + 2

3W = 18

W = 6

The width is 6 meters.

L = 2W + 2 = 2 (6 m) + 2 m = 12 m + 2 m = 14 m

Answer: The length is 14 m.