To find the total area of the ramp that needs to be painted, we need to calculate the area of each individual shape in the diagram and then add them up.
The total area of the ramp is:
Rectangle: 8 ft x 4 ft = 32 ft²
Triangle: 2 ft x 4 ft ÷ 2 = 4 ft²
Circle: πr² = π(1.5 ft)² ≈ 7.07 ft²
Total area = 32 ft² + 4 ft² + 7.07 ft² ≈ 43.07 ft²
Convert the total area from square feet to square inches:
43.07 ft² x (12 in/ft)² ≈ 6192 in²
Now, we need to calculate how many pints of paint are needed to cover 6192 in²:
1 pint covers 200 in²
6192 in² ÷ 200 in²/pint ≈ 30.96 pints
Since paint is only sold in whole pints, the skateboard club will need to purchase 31 pints of paint to cover the entire ramp.
The diagram represents a model of a ramp that skateboard club wants to create at the neighborhood skate park. If 1 pint of paint covers 200 in.² how many pints of paint will the club need to purchase paint is only sold in whole pints.
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