Question

Question
A quart of stain covers 100 square feet. How many quarts should you buy to stain the wheelchair ramp? (Assume you do not have to stain the bottom of the ramp.)

Answer 1

The given dimensions of the ramp of 5 ft. by 25 1/12 ft. with height 25 in. gives;

• The number of quarts required is 2 quarts

How can the quarts required be found?

The area of the top of the ramp, A, is found as follows;

A = (25 1/12) ft. × 5 ft. = 125 5/12 ft.²

Area of the sides = 0.5 × 25 × (2 1/12) = 26 1/24

Area of both sides = 2 × 26 1/24 = 52 1/12

Area of the front = 5 × (2 1/12) = 10 5/12

Area to be painted is therefore;

125 5/12 + 52 1/12 + 10 5/12 = 187 11/12

Area to be painted = 187 11/12 ft.²

1 quart stains 100 ft.²

2 quarts stains 200 ft.²

• 100 ft.² < 187 11/12 ft.² < 200 ft.²

Therefore;

• The number of quarts required to stain the wheelchair ramp = 2 quarts

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