Solve the problem.
-Scot and Elizabeth recently built a rectangular garden measuring 40 feet by 50 feet. They want to add a paverstone walkway of uniform width around all sides of the garden. How wide can they make the walkway if
They purchased enough stones to cover 1000 square feet?
A)5 ft
B)10 ft
C)62.5 ft
D)50 ft

Question

Quizplus · Accepted Answer

The area of the garden is 40ft * 50ft = 2000 square feet. With the walkway, the dimensions become (40+2w)ft by (50+2w)ft, where w is the width of the walkway. The area of the garden plus the walkway is (40+2w)(50+2w) square feet. The area of just the walkway is the total area minus the garden area, which is 1000 square feet (given). So, (40+2w)(50+2w) - 2000 = 1000. Solving this equation for w gives w = 5 feet.

Solve the Problem. -Scot and Elizabeth Recently Built a Rectangular Garden Measuring 40