Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.

Question

Area: 16 square feet

ft smaller value

ft larger value

Answer 1

Write down the formula for the area of this rectangle in terms of length L and width W.

Solve this formula for L (or W).

Write down the formula for the perimeter of a rectangle in terms of L and W.

Substitute the value for L (or W) from the second step into the perimeter equation.

Find the critical points of the perimeter equation over the applicable domain to determine the minimum.