Question

A rectangular garden has a walkway around it. The area of the garden is 4(5.5x + 2.5). The

combined area of the garden and the walkway is 5.5(8x + 6). Find the area of the walkway around
the garden as the sum of two terms.
The area of the walkway around the garden is .
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answer 1

a = 22x + 23

Explanation:

area walkway = area both - area garden

a = 5.5(8x + 6) - 4(5.5x + 2.5)

Distribute

a = (44x + 33) - (22x + 10)

Simplify

a = 44x + 33 - 22x - 10

Combine like terms

a = 22x + 23