Question

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Answer 1

Given:

Quadrilateral IJKL is similar to quadrilateral MNOP.

To find:

The measure of side NO.

Solution:

If two figures are similar, then the corresponding sides are similar.

Quadrilateral IJKL is similar to quadrilateral MNOP. So,

`(IL)/(MP)=(JK)/(NO)`

Putting the given values, we get

`(9)/(35)=(16)/(NO)`

`9* NO=16* 35`

`9NO=560`

Divide both sides by 9.

`NO=(560)/(9)`

`NO=62.222...`

`NO\approx 62.2`

Therefore, the measure of side NO is 62.2 units.