An architect needs to design a rectangular room with an area of $62 \mathrm{ft}^{2}$. What dimensions should she use in order to minimize the perimeter? Round to the nearest hundredth if necessary.
A) $7.87 \mathrm{ft} x 15.5 \mathrm{ft}$
B) $15.5 \mathrm{ft} \times 15.5 \mathrm{ft}$
C) $7.87 \mathrm{ft} \times 7.87 \mathrm{ft}$
D) $12.4 \mathrm{ft} \times 62 \mathrm{ft}$

Question

Quizplus · Accepted Answer

To minimize the perimeter of a rectangle with a fixed area, the rectangle should be as close to a square as possible. The dimensions $7.87 \mathrm{ft} \times 7.87 \mathrm{ft}$ form a square with an area of approximately $62 \mathrm{ft}^{2}$.

An Architect Needs to Design a Rectangular Room with an Area