Question

A landscape architect is designing a rectangular garden in a local park. The garden will be 35 feet long and 15 feet wide. The architect wants to place a walkway with a uniform width all the way around the garden. What will be the area of the garden, including the walkway?

Answer 1

Given length of the garden = 35 feet

Given width of the garden = 15 feet

Let's assume the walkway has a width of x feet.

The figure of the garden with walkway is attached below.

Length of walkway= $35+x+x = 35+2x$

Width of walkway = $15+x+x = 15+2x$

Area of walkway = length of walkway * width of walkway

Area = $(35+2x)(15+2x)$

Area = $(35*15) + (35*2x) + (15*2x) + (2x*2x)$

Area = $4x^2+100x+525$ .... Answer