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.

Question

Mathematics

Alannah Trevino

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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Khalil Douglas · Answer 1

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.