## Brandon is building a deck in the shape of a rectangle around a circular pool. The pool is 16 feet across. If the deck is 28 feet by 23 feet

Question

Brandon is building a deck in the shape of a rectangle around a circular pool. The pool is 16 feet across. If the deck is 28 feet by 23 feet, how many square feet of wood is needed to build the deck? Round your answer to the nearest hundredth.

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3 years 2021-08-22T01:10:28+00:00 1 Answers 8 views 0

Wood needed to build deck = 442.86 feet² (Approx.)

Step-by-step explanation:

Given:

Diameter of pool = 16 feet

Dimensions of rectangular deck = 28 feet by 23 feet

Find:

Wood needed to build deck

Computation:

Radius of pool = Diameter of pool / 2

Radius of pool = 16 / 2 = 8 feet

Wood needed to build deck = Area of rectangle deck – Area of circular pool

Wood needed to build deck = [l x b] – πr²

Wood needed to build deck = [28 x 23] – [22/7][8]²

Wood needed to build deck = 644 – [22/7][64]

Wood needed to build deck = 644 – 201.14

Wood needed to build deck = 442.86 feet² (Approx.)