SOLUTION: A walkway 3 m wide surrounds a rectangular plot if grass. The plot is 60 m long by 30 m wide. What is the area of the walkway?

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Question 983619: A walkway 3 m wide surrounds a rectangular plot if grass. The plot is 60 m long by 30 m wide. What is the area of the walkway?
Answer by josgarithmetic(39618) About Me  (Show Source):
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A walkway u meters wide surrounds a rectangular plot of grass. The plot is L meters long by w meters wide. What is the area A of the walkway?

VARIABLES
system%28u=3%2CL=60%2Cw=30%2CA=unknown%29

FORMULATE EXPRESSIONS OR EQUATIONS
Total area, %28L%2B2u%29%28w%2B2u%29
Just the grass plot area, L%2Aw
Walkway area only, highlight%28A=%28L%2B2u%29%28w%2B2u%29-Lw%29

Multiplying the right member expression or keeping in its somewhat factored form is your choice. Note a term Lw and its additive inverse if you do the multiplication.

A=Lw%2B2uw%2B2uL%2B4u%5E2-Lw
highlight%28A=2uw%2B2uL%2B4u%5E2%29-------only three terms, all are constants.

Substitute the given values and evaluate A.