Answer:
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.
