Question

Instructions: The polygons in each pair are similar. Find the missing side length.3232?154040

Answer 1

x = 12 units.

Explanation:

In similar polygons, corresponding sides are in same ratio.

Let the unknown side be 'x.

`\sf (x)/(15)=(32)/(40)\\\\\\`

`\sf x = (32)/(40)*15\\\\ x = (4)/(5)*15\\\\ x = 4*3\\\\x = 12`

Answer 2

Given:

Find-:

The proportion and value of x

Explanation-:

The proportion is:

`(x)/(15)=(32)/(40)=(32)/(40)`

Because of side ratio is:

`(CD)/(C^(\prime)B^(\prime))=(AB)/(A^(\prime)B^(\prime))=(AD)/(A^(\prime)D^(\prime))`

So, the value of x is:

`\begin{gathered} (x)/(15)=(32)/(40) \\ \\ x=(32)/(40)*15 \\ \\ x=(480)/(40) \\ \\ x=(48)/(4) \\ \\ x=12 \end{gathered}`

The value of "x" is 12.