A rectangular park 40 yards wide was redesigned, and a path 1 yard wide was built around it. How long was the park before if, after the path was built, its area became 4200 square yards?
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Step-by-step explanation:
The new width is 40 yds + 2 yds = 42 yds.
Area = L × W
4200 square yds = L × 42 yds
L = 4200 yds ÷ 42 yds = 100 yds
The new length is 100 yds.
The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.
The length of the park was 98 yds, before the path was built.
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