A rectangular garden is to cover 468 square feet of area. If the width is 8 feet less than the length, find the dimensions of the pen.
A) length = 52 ft; width = 9 ft
B) length = 26 ft; width = 18 ft
C) length = 27 ft; width = 19 ft
D) length = 28 ft; width = 20 ft

Question

Quizplus · Accepted Answer

The area of the rectangle is given by the formula length × width = 468. If the width is 8 feet less than the length, we can express the width as (length - 8). Substituting into the area formula gives length × (length - 8) = 468. Solving this quadratic equation, we find that the length is 26 feet and the width, therefore, is 18 feet (26 - 8 = 18), which matches option B.

A Rectangular Garden Is to Cover 468 Square Feet of Area