Question

Isabelle is designing a sandbox for her backyard. the sandbox will be a regular pentagon 3 ft each side. how much wood does she need to enclose the entire sandbox? how many square ft will the sandbox take up?

Answer 1

Area of rectangular Pentagon = 5 * s^2 / (4tan(36°)) =5 × (3)^2 / (4*tan(36) ) = 17.73

the sides of the box are squares. their sides are 3 ft long. So the area of each square is 25 ft^2

Now, there are 5 sides, so if we mutiply 5 * 25 ft^ = 125 ft^2

So the answers are:

She needs 125 ft^2 to enclose the entire sandbox

and it would take up 142.73 ft^2