The length of a rectangular plot of land is 3 times the width. If the perimeter is 1500 feet, find the dimensions of the plot. Round your answer to the nearest tenth, if necessary.
A) 750 ft × 2250 ft
B) 187.5 ft × 562.5 ft
C) 375 ft × 1125 ft
D) 100 ft × 300 ft

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by the formula $P = 2l + 2w$, where $l$ is the length and $w$ is the width. Given that the length ($l$) is 3 times the width ($w$), we can express the length as $l = 3w$. Substituting this into the perimeter formula gives $1500 = 2(3w) + 2w$, which simplifies to $1500 = 8w$. Solving for $w$ gives $w = 187.5$ feet. Therefore, the length is $3 \times 187.5 = 562.5$ feet, making the dimensions $187.5 ft \times 562.5 ft$.

The Length of a Rectangular Plot of Land Is 3