Question

A rectangular garden has a walkway around it. The area of the garden is 4​(6.5x+2.5​). The combined area of the garden and the walkway is 4.5​(8x+4​). Find the area of the walkway around the garden as the sum of two terms.

Answer 1

see below

Explanation:

area of the garden is 4​(6.5x+2.5​).

combined area of the garden and the walkway is 4.5​(8x+4​).

so area of the walkway = 4.5​(8x+4​) -4​(6.5x+2.5​)

=36x+18 -26x-10

=10x+8