Th diagram represents a model of a ramp the skateboard club wants to create at the neighborhood skate park if one pint of paint covers 200 square inches how many pints of paint will the club need to purchase?paint is only sold in whole
The first step is to calculate the total area that needs to be painted on the ramp. By looking at the diagram, we can see that the ramp is formed by a rectangle and a right triangle.
Let's calculate the area of the rectangle and the area of the triangle separately:
Rectangle:
Length = 18 ft = 18 ft * 12 in/ft = 216 inches
Width = 6 ft = 6 ft * 12 in/ft = 72 inches
Area = Length * Width = 216 in * 72 in = 15,552 square inches
Triangle:
Base = 12 ft = 12 ft * 12 in/ft = 144 inches
Height = 9 ft = 9 ft * 12 in/ft = 108 inches
Area = 0.5 * Base * Height = 0.5 * 144 in * 108 in = 7,776 square inches
Total area = Area of rectangle + Area of triangle
Total area = 15,552 square inches + 7,776 square inches = 23,328 square inches
Now, we know that 1 pint of paint covers 200 square inches.
Pints of paint needed = Total area / 200 square inches per pint
Pints of paint needed = 23,328 square inches / 200 square inches per pint
Pints of paint needed = 116.64 pints
Since paint is only sold in whole pints, the Skateboard Club will need to purchase 117 pints of paint to cover the entire ramp.