Question

Jody buys 20 yards of fencing to build a garden. The garden will have 5 sides. What is the area of the largest garden she can build?

The 5-sided figure with the largest area for a given perimeter is a *blank* pentagon. Since Jody has 20 yards of fencing, the sides of the figure must measure *blank*
The area of the garden will be
approximately *blank*
square yards.

Answer 1

27.5 square yards

Explanation:

the Pentagon is a regular Pentagon since it has equal sides. each side will be 4 yards. the area of the Pentagon is 0.5 x perimeter x apothem.

perimeter is 5 sides x 4 yards = 20 yards

apothem = 2/tan(36deg) = 2.75 yards

area = 27.5 yards

Answer 2

Regular

4 yards, 4 yards, 4 yards, 4 yards, 4 yards

28