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Shapes A and B are similar.

a) Calculate the scale factor from shape A to shape B.

b) Find the value of w.

Give each answer as an integer or as a fraction in its simplest form.

Shapes A and B are similar a Calculate the scale factor from shape A to shape B b Find the value of w Give each answer as an integer or as a fraction in its si class=

Respuesta :

The ratio is 3:4

From this:

7(3/4)= 21/4

This is because we multiple the ratio with one of the side to get from a to b.

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The scale factor from shape A to shape B is 0.75 with w = 5.25 cm.

What is scale factor?

The size by which the shape is enlarged or reduced is called as its scale factor.

Scale factor from shape A to shape B = [tex]\frac{3}{4}[/tex] = 0.75

It can be calculated by dividing the length of one side of the polygon to the corresponding side of the similar polygon. Keep the length of the side of the original figure in denominator and length of the side of the transformed figure in the numerator.

Calculating w.

[tex]\frac{w}{7} = 0.75\\\\w = 7 * 0.75 = 5.25[/tex]

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