Question

The two trapezoids are similar figures. Use a proportion to find the length of side RU?

Answer 1

The length of RU is 12.

Explanation:

If two trapezoids are similar, then the ratio of the lengths of corresponding sides in the first trapezoid to the lengths of the corresponding sides in the second trapezoid is equal.

This proportion formula can be used to solve for unknown side lengths or to determine the scale factor between the two similar trapezoids.

The proportion formula for similar figures, such as trapezoids, relates the corresponding sides of the two figures.

LO/RU = LM / RS

Substituting the values:

30/RU = 25/10

RU = 30 x 10 / 25

RU = 6 x 10/5

RU = 12

Thus, the length of RU is 12.

Answer 2

The length of side RU in the figure is 12

How to find the length o side RU

The length of side RU is solved using the concept of similar polygons

In this case, the proportion is as follows

LM / RS = LO / RU

25 / 10 = 30 / RU

RU = 10 * 30 / 25

RU = 12

The length of side RU is 12