Question

A figure will be dilated by a scale factor of 1.4 how will this be affect the following

a. the perimeter of the figure

b. the area of the figure

Answer 1

Dilation involves changing the size of a shape

• The new figure will have a bigger perimeter
• The area of the shape will change by a factor of 1.4^n

How dilation affects the perimeter

The scale factor of dilation is given as:

$k = 1.4$

1.4 is greater than 1.

This means that, the perimeter of the new figure will be greater than the perimeter of the old figure

How dilation affects the area

Assume the number of sides of the shape is n.

The area of the shape will change by a factor of 1.4^n

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