Question

Please help explanation if possible

Answer 1

length = 48 feet , width = 32 feet

Explanation:

Using

2W + 2L = 160 with W = L - 16 , then

2(L - 16) + 2L = 160 ← distribute and simplify left side

2L - 32 + 2L = 160

4L - 32 = 160 ( add 32 to both sides )

4L = 192 ( divide both sides by 4 )

L = 48

Substitute L = 48 into W = L - 16

W = 48 - 16 = 32

Thus length = 48 feet and width = 32 feet

Answer 2

l = 48 cm

w = 32 cm

Explanation:

length = l

Width w= l - 16

Perimeter = 160 ft

2*(l + w) = 160

2*(l + l -16) = 160

2*(2l - 16) = 160

Use distributive property

2*2l - 2*16 = 160

4l - 32 = 160 {add 32 to both sides}

4l = 160 + 32

4l = 192 {Divide both sides by 4}

l = 192/4

l = 48 cm

W = 48 - 16 = 32 cm