Question 56777
P=2(length+width) [Use the formula for the perimeter of a rectangle]
P = 64
Length = 2w+8
Width = w
64=2(2w+8+w) [Plug-in the values]
64=2(8+3w) [Simplify]
64=16+6w [Solve for w]
64-16=6w
48=6w
8=w
.
length = 2w+8=(2)(8)+8=24
width = 8
.
Check by plugging all of the values back into the formula for the perimeter of a rectangle:
64=2(24 + 8)
64=2(32)
64=64 [Checks out]