Respuesta :

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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