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42 votes
42 votes
16 in12 inOriginal3 in20 in5 inHow do the perimeters of the similarshapes above compare?

User Alasjo
by
3.0k points

1 Answer

22 votes
22 votes

The original has dimensions 16 in, 12 in and 20 in.

The image has dimensions 3 in, 4 in and 5 in.

We need to find the perimeter of both triangles and then compare them.

The perimeter of a triangle is given as:

P = a + b + c

where a, b, c are the three sides of the triangle

Therefore, the perimeter of the original is:

P = 16 + 12 + 20 = 48 in

The perimeter of the image is:

p = 3 + 4 + 5 = 12 in

By comparing these two perimeters, we can see that the perimeter of the original is 4 times that of the image.

So the image's perimeter is 1/4 that of the original. (Option B)

User Simo Ahava
by
3.3k points