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lyudmila [28]
2 years ago
12

Use the scale drawing and the scale factor to enlarge a square that has a side length of 12 in. Scale factor= 3 in:2m.

Mathematics
1 answer:
podryga [215]2 years ago
4 0

Given:

The side of square = 12 in.

Scale factor of enlargement = 3 in : 2 m

To find:

The proportion that is use to solve the side length, x, of the enlarged square.

Solution:

Let, the side of length of enlarged square = x m

In case of enlargement the corresponding sides are proportional.

\dfrac{3}{12}=\dfrac{2}{x}

3x=2\times 12

3x=24

Divide both sides by 3.

x=\dfrac{24}{3}

x=8

Therefore, the required proportion is \dfrac{3}{12}=\dfrac{2}{x} and the side length of the square after enlargement is 8 m.

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