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11 May, 15:06

Item 16 A scale drawing of a triangular sign has a scale factor of 1:8. Which statements are true? The ratio of the area of the scale drawing to the area of the sign is 1:8. The ratio of the area of the scale drawing to the area of the sign is 1:16. The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:8. The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor.

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  1. 11 May, 18:17
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    The correct option is;

    The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor

    Step-by-step explanation:

    Here we have a scale factor of 1:8

    Therefore area of drawing = 1/2*base, b*height, h = 1/2*b*h

    Hence, the area of the triangular sin will be given by 1/2*8*b*8*h

    Area of triangular sign = 64 * 1/2*b*h

    Hence the ratio of the area of the scale drawing to the area of the triangular sign is equal to the square of the scale factor.
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