Solve the problem, if possible. Round your answer to the nearest tenth, when appropriate.
-A parking lot measures $100 \mathrm{ft}$ by $150 \mathrm{ft}$. A sidewalk of uniform width is to completely surround the lot. If the sidewalk can cover $1016 \mathrm{ft}^{2}$, how wide will the sidewalk be?
A) $3 \mathrm{ft}$
B) $1.5 \mathrm{ft}$
C) $2.5 \mathrm{ft}$
D) $2 \mathrm{ft}$

Question

Quizplus · Accepted Answer

The area of the parking lot is $100 \times 150 = 15000 \mathrm{ft}^2$. Including the sidewalk, the total area is $15000 + 1016 = 16016 \mathrm{ft}^2$. Let $x$ be the width of the sidewalk. The dimensions of the entire lot including the sidewalk are $100 + 2x$ by $150 + 2x$. So, $(100 + 2x)(150 + 2x) = 16016$. Solving for $x$, we find $x = 2$, meaning the sidewalk will be 2 feet wide.

Solve the Problem, If Possible 100ft100 \mathrm{ft}100ft By 150ft150 \mathrm{ft}150ft a Sidewalk of Uniform Width Is to Completely Surround

Solve the Problem, If Possible $100 \mathrm{ft}$ By $150 \mathrm{ft}$ a Sidewalk of Uniform Width Is to Completely Surround