Question

polygon A i simllar to polgon B. find the perimeer of polygon B if one side of polygon A is 24 A sde to polygon B is 15 and the perimeter of polgon A is 128

Answer 1

Answer:80 units

Explanation:

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Answer 2

Perimeter of polygon B = 80 units

Explanation:

Since both polygons are similar, their corresponding sides and perimeters are proportional. Knowing this we can setup a proportion to find the perimeter of polygon B.

`(side-polygonA)/(side-polygonB) =(perimeter-polygonA)/(perimeter-polygonB)`

Let
`x` be the perimeter of polygon B. We know from our problem that the side of polygon A is 24, the side of polygon B is 15, and the perimeter of polygon A is 128.

Let's replace those value sin our proportion and solve for
`x`:

`(side-polygonA)/(side-polygonB) =(perimeter-polygonA)/(perimeter-polygonB)`

`(24)/(15) =(128)/(x)`

`x=(128*15)/(24)`

`x=(1920)/(24)`

`x=80`

We can conclude that the perimeter of polygon B is 80 units.