A rectangular garden is three times as long as it is wide. If the area of the garden is 867 square feet, find the length and width of the garden.
A) Length: 17 feet; Width: 3 feet
B) Length: 51 feet; Width: 17 feet
C) Length: 48 feet; Width: 16 feet
D) Length: 289 feet; Width: 3 feet

Question

Quizplus · Accepted Answer

The area of a rectangle is given by the formula length × width. If the garden is three times as long as it is wide, we can denote the width as w and the length as 3w. The area is then 3w^2 = 867. Solving for w gives w = sqrt(867/3) = sqrt(289) = 17. Therefore, the width is 17 feet and the length is 3 times 17, which is 51 feet.

A Rectangular Garden Is Three Times as Long as It