The scale from the drawing to the actual ramp is 2cm to 12in. What is the area of the actual side of the ramp?

The scale is 2 cm to 12 in so the actual length of the shorter side is 12 in, and the actual side of the longer side is (8/2)×12=48 in. So, the actual area of the ramp is (1/2)×12×48=288 Sq. in.
Scale used to convert the dimensions from drawing to actual is,
2 cm : 12 in
Height of the ramp in a skateboard park = 2 cm
Therefore, actual height 'x' of the ramp will be,
[tex]\frac{2}{12}=\frac{2}{x}[/tex]
x = 12 inches
Since, measure of the base of the ramp = 8 cm
Length of the base 'y' of the actual ramp will be,
[tex]\frac{2}{12}=\frac{8}{y}[/tex]
y = [tex]\frac{8\times 12}{2}[/tex]
y = 48 inches
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(48)(2)[/tex]
= 48 square inches
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