Question

What is the minimum possible perimeter of a quadrilateral with an area of $1,600$ square feet?

• A. $160$ ft.
• B. $200$ ft.
• C. $180$ ft.
• D. $220$ ft.

Answer 1

The correct option is A $160$ ft.

The quadrilateral with minimum perimeter for a given area is a square. Since the area of a square is the side length squared, you can solve the equation $x^2=1,600f{t}^2$ for the side length x, yielding x =40 ft. The perimeter, which is four times the side length, is (4)(40 ft), which equals $160ft$.