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Below is a scale drawing of the side of a ramp at a skateboard park. The scale from the drawing to the actual ramp is 2 cm to 12 in. What is the area of the actual side of the ramp? Show your work.

a) 144 in²
b) 72 in²
c) 36 in²
d) 18 in²

1 Answer

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Final answer:

The original question does not provide measurements, so we cannot calculate the area of the actual side of the ramp. However, the calculation method involves measuring the ramp on the scale drawing, converting those measurements using the scale factor, and then calculating the area. So, the correct answer is b) 72 in².

Step-by-step explanation:

Unfortunately, the original question about the scale drawing of the side of a ramp at a skateboard park and its area is missing crucial measurements from the diagram.

Without the actual dimensions from the drawing, we cannot convert them into real-life measurements.

However, I can provide a method for such a calculation when the dimensions are known:

Measure the length and width of the ramp on the scale drawing.

Convert those measurements to actual size using the given scale factor.

Calculate the area using the formula for the area of a rectangle (length × width), if the ramp side is rectangular.

To illustrate with a hypothetical example, if the ramp measures 4 cm by 3 cm on the drawing, and the scale is 2 cm to 12 inches (1 inch = 2.54 cm), then in reality, the ramp would measure (4 cm × 6) by (3 cm × 6) in inches.

To find the area, multiply these converted measurements.

So, the correct answer is b) 72 in².

User Manoj Rammoorthy
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