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Answered

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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.
Which proportion could you use to solve the side length, x, of the enlarged square?

Sagot :

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.

[tex]\dfrac{3}{12}=\dfrac{2}{x}[/tex]

[tex]3x=2\times 12[/tex]

[tex]3x=24[/tex]

Divide both sides by 3.

[tex]x=\dfrac{24}{3}[/tex]

[tex]x=8[/tex]

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

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