Answer:
Length, L = 9 feet.
Width, W = 11 feet.
Step-by-step explanation:
Given the following data;
Perimeter = 40 feet
Length = 3x
Width = 2x + 5
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
40 = 2(3x + 2x +5)
40 = 2(5x + 5)
40 = 10x + 10
10x = 40 - 10
10x = 30
x = 30/10
x = 3
Now, to find the length;
Length, L = 3x
Substituting into the equation, we have;
Length, L = 3*3
Length, L = 9 feet
To find the width;
Width, W = 2x + 5
Substituting into the equation, we have;
Width, W = 2(3) + 5
Width = 6 + 5
Width, W = 11 feet.
