Problema Solution

A round 8ft wide hot tub is being built into a 13ft by 28 ft retangular deck. How much decking is needed for the surface of the deck? Use 3.14 for pi

Answer provided by our tutors

We must solve in three steps:

First: Find the area of the hot tub.

Area of a circle = pi (radius2)

The diameter of the round hot tub is 8 ft, so the radius is 4 ft.

A = 3.14(42)

A = 3.14(16)    or 3.14 x 16

A = 50.24 square feet

Second: Find the area of the deck measuring 13 ft by 28 ft.

Area of a rectangle = length x width

A = 13 x 28

A = 364sf

Third: Subtract the area of the hot tub from the area of the deck.

364 - 50.24 = 313.76sf     or 313.76ft2