Question

Peter decides to put carpet on the floor of his tree house. The area of the floor can be found by the expression 5((s)(h)/2), where s equals the side length and h equals the distance from the center to the side. Peter approximates these measures, as shown on the diagram. If the tree growing through the center of the house takes up 25 ft^2 of floor area, how many square feet of carpeting will Peter need?

Answer 1

The answer is 80 feet squared

Explanation:

Answer 2

80 sq. ft.

Explanation:

It is given that

s = 7

h = 6

Putting into formula, we have the area of the whole pentagon.

Area of whole pentagon =
`5((s*h)/(2))=5((7*6)/(2))=105`

Now, the area of the tree (25) would be subtracted, so we have:

105 - 25 = 80

Thus, 80 square feet of carpeting will be needed.