Question

hello may I get some help please?

Answer 1

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Answer 2

What is the scale factor of the sides of the pentagons?

Answer 3

4 and 10

Answer 4

Right. What do you multiply 4 by to get 10?

Answer 5

The scale factor is the number you multiply a side length in one polygon to get the corresponding length in the other polygon.

Answer 6

the closest I would get to 10 is 4x2=8

Answer 7

How about exact? We can use decimals.
10/4 = 2.5

Answer 8

The scale factor is 2.5
2.5 times the length 4 in the smaller pentagon gives us length 10 in the large pentagon.
Ok so far?

Answer 9

yep

Answer 10

So far we know the scale factor for the side lengths is 2.5
All lengths in the larger pentagon are 2.5 times larger than the corresponding lengths in the smaller pentagon.
Now we can start to deal with the areas.

Answer 11

Look at the figure below.
There are 2 line segments.
The lengths are 1 cm and 2 cm.
The scale factor from the small segment to the large segment is 2,
since 2 * 1 cm = 2 cm.

Answer 12

When we deal with a scale factor and a length, we simply multiply the length by the scale factor to find the new length.
Now let's see what happens when we deal with scale factors and areas.