Question

The Pueyo family wants to paint the deck around their swimming pool with the dimensions shown in the figure. If a gallon covers 200 square feet, how many gallons of paint are needed to apply two coats of paint?

A) 6 gallons
B) 8 gallons
C) 10 gallons
D) 12 gallons
E) 14 gallons

Answer 1

Where the above dimensions are given, note that the amount of gallons required is 5.76 or approximately 6 gallons (Option A)

To determine the number of gallons of paint that are needed to apply two coats of paint on the deck around the swimming pool we first need to:

Find the area of the entire dimension;

then, find the area of the compound shape (Which is the pool);

remove the area of the pool from the total shape of the entire dimension

find the number of feet that it comes to, then relate it to the given requirements above (200ft²/gallon)²

Full dimension

24 x 36 = 864 ft²

Dimension of the pool;

(3 x 12) x 2 = 72ft

(3 x 24) x 2 = 144ft
12 x 24 = 288ft

Thus the total surface area of the pool is =

72 + 14 + 288 = 374ft

Full Dimension minus Total Surfac area of the pool = 864 - 288

= 576ft

Now since 1 gallon coats 200ft it means that to do the first coat, we'd need

576/200

= 2.88 gallons for the first coating.

For two coating therefore, you'd need:

2.88 x 2

= 5.76 gallons

≈ 6 gallons

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