Answer: The Length of the rectangle is 18 feet.
The width is 8 feet
Step-by-step explanation: Perimeter is 2w + 2L
Length here is 2w + 2 Substitute this value for L in the equation.
P = 2w + 2L
52 = 2w + 2(2w + 2) distribute and add
52 = 2w + 4w + 4
52 = 6w + 4 Subtract 4 from both sides, Then divide both sides by 6 to solve for w
48 = 6w
8 = w The width is 8 ft
Substitute into the original expression for Length
Length here is 2w + 2 : 2(8) + 2 16 + 2 = 18
The Length is 18 feet.
Check: in the original equation P = 2w + 2L
52 = 2(8) + 2(18)
52 = 16 + 36 TRUE!