The diagram represents a model of a ramp 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

Answer 1

To determine the area that needs to be painted, we need to find the area of each shape in the diagram and then add them together.

1. Rectangular ramp:
Length = 12 ft = 144 in
Width = 8 ft = 96 in
Area = Length x Width = 144 in x 96 in = 13,824 in²

2. Triangular ramp:
Base = 12 ft = 144 in
Height = 6 ft = 72 in
Area = 0.5 x Base x Height = 0.5 x 144 in x 72 in = 5,184 in²

3. Total area = Area of rectangular ramp + Area of triangular ramp
Total area = 13,824 in² + 5,184 in² = 19,008 in²

Given that 1 pint of paint covers 200 in², we need to calculate how many pints of paint are needed to cover 19,008 in²:

Pints of paint needed = Total area / Area covered by 1 pint
Pints of paint needed = 19,008 in² / 200 in² = 95.04 pints

Since paint is only sold in whole pints, the club will need to purchase 96 pints of paint to cover the entire ramp.