Question
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
Answers
GPT 3.5
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.
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.