Question 57084
P=2(length + width) [Use the formula for a perimeter]
P=48ft
Length= 3w-8
Width=w
.
48=2[(3w-8)+w]
48=2(3w-8+w)
48=2(4w-8)
48=8w-16
48+16=8w
64=8w
64/8=w
8ft=width
.
Length:
l=3w-8
l=3(8)-8
l=24-8
Length = 16 ft
.
Check by plugging the values of the perimeter, length and width into the formula for the perimeter of a rectangle.
48=2(16+8)
48=2(24)
48=48 [checks out]