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

Answer:

$x = 20$

Step-by-step 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

$\frac{12}{5} = \frac{48}{x}$

Cross Multiply

$12 * x = 48 * 5$

Solve for x

$x = \frac{48 * 5}{12}$

$x = \frac{240}{12}$

$x = 20$