Question

Each pair of polygons is similar. Find each missing side measure. two polygons 12 on top 5 on bottom second polygon 48 on top x on bottom

Answer 1

`x = 20`

Explanation:

Given

First Polygon:

`Top = 12`

`Bottom =5`

Second Polygon

`Top = 48`

`Bottom =x`

Required

Find x

Since both polygons are similar, then:

`Ratio = Top:Bottom`

For the first:

`Ratio = 12:5`

For the second

`Ratio = 48:x`

Equate both ratios

`12:5 = 48:x`

Express as fraction

`(12)/(5) = (48)/(x)`

Cross Multiply

`12 * x = 48 * 5`

Solve for x

`x = (48 * 5)/(12)`

`x = (240)/(12)`

`x = 20`