Answer:
Step-by-step explanation:
Perimeter = 2W + 2L
160 = 2W + 2L
width = 16 feet less than length
W = L - 16 ------------(I)
Finding the dimensions of the court:
2W + 2L = 160
2*(L-16) + 2L = 160 {from (I) }
2*L - 2*16 + 2L = 160 {Distributive property}
2L - 32 + 2L = 160
2L + 2L - 32 = 160 {Combine like terms}
4L - 32 = 160 {Add 32 to both sides}
4L = 160 +32
4L = 192 {Divide both sides by 4}
L = 192/4
L = 48
W = 48 - 16
W = 32
