The smallest perimeter possible for a rectangle whose area is 400 square feet is

A)79.5 ft
B)79.9 ft
C)80 ft
D)80.1 ft
E)80.5 ft

Question

The smallest perimeter possible for a rectangle whose area is 400 square feet is
​
A)79.5 ft
B)79.9 ft
C)80 ft
D)80.1 ft
E)80.5 ft

Quizplus · Accepted Answer

The smallest perimeter for a rectangle with a given area is achieved when the rectangle is a square. For an area of 400 square feet, the sides of the square would each be √400 = 20 feet. Therefore, the smallest perimeter would be 4 * 20 = 80 feet.

The Smallest Perimeter Possible for a Rectangle Whose Area Is