Answer:
Length = 11 1/3 ft; Width = 4 2/3 ft
Step-by-step explanation:
First question:
The length is 2 more than twice the width, so
L = 2W + 2
Second question:
2L + 2W = 32
L = 2W + 2
Since the second equation is already solved for L, we can use the substitution method. Replace L of the first equation with 2W + 2, and solve for W.
2L + 2W = 32
2(2W + 2) + 2W = 32
4W + 4 + 2W = 32
6W = 28
W = 28/6 = 14/3 = 4 2/3
L = 2W + 2 = 2(14/3) + 2 = 28/3 + 6/3 = 34/3 = 11 1/3
L = 11 1/3
W = 4 2/3
Answer: Length = 11 1/3 ft; Width = 4 2/3 ft
