Find the dimensions that produce the maximum floor area for a one-story house that is rectangular in shape and has a perimeter of $120 \mathrm{ft}$.
A) $30 \mathrm{ft} \times 120 \mathrm{ft}$
B) $10 \mathrm{ft} \times 30 \mathrm{ft}$
C) $60 \mathrm{ft} \times 60 \mathrm{ft}$
D) $30 \mathrm{ft} \times 30 \mathrm{ft}$

Question

Quizplus · Accepted Answer

For a given perimeter, a square shape maximizes the area. With a perimeter of 120 ft, each side of the square is 30 ft, resulting in dimensions of 30 ft x 30 ft.

Find the Dimensions That Produce the Maximum Floor Area for a One-Story