Question

Consider the original parallelogram and the reduction.

What is the length of side A in the new parallelogram?

Answer 1

Given:

The given figure represents the original parallelogram and the reduction.

To find:

The length of side A in the new parallelogram.

Solution:

We know that the original figure is always similar to its reduction. So, both parallelograms are similar to each other.

The corresponding sides of similar figures are proportional.

`(45)/(18)=(5)/(A)`

`45* A=5* 18`

`45A=90`

Divide both sides by 45.

`A=(90)/(45)`

`A=2`

The length of side A in the new parallelogram is 2 cm. Therefore, the correct option is A.