Question

5. A polygon has a perimeter of 18 units. It is dilated with a scale factor of What is the
perimeter of its image?
a.
12 units
b.
24 units
C.
27 units
d.
30 units

Answer 1

Answer:

A polygon has a perimeter of 18 units. It is dilated with a scale factor of???? (missing info) What is the  perimeter of its image?

Step-by-step explanation:

In summary, a scale factor is simply a number that multiplies the dimensions of a shape. ... If the scale factor is three, then the perimeter of the new object will be three times the original perimeter. The area of a scaled object will be equal to the scale factor squared.

Answer 2

When perimeter of polygon is dilated by a scale factor of m . then new perimeter become m times of old perimeter.

Perimeter of its image is 18m units.

When a polygon is dilated by a scale factor of m. then, each side of polygon is  increased by m times.

Therefore, Perimeter of image of polygon will be m times of perimeter of pre image of polygon.

Here, A polygon has a perimeter of 18 units and its dilated by scale factor of m.

So, Perimeter of its image =  $m*18=18m$

If m = 2 , then perimeter of image = $2*18=36units$

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