Chapter 6.4, Problem 15E

To determine

To Find: the value of $AB$

Answer to Problem 15E

The value of AB is $18\text{ inch}$

Explanation of Solution

Given information: From the figure provided in the question. The quadrilaterals RSTU and ABCD are congruent that is $RSTU\cong ABCD$ .

In quadrilateral RSTU , $\overline{RS}=18\text{ inch , }\overline{UT}=36\text{ inch}$ .

In quadrilateral ABCD, $\overline{BC}=14\text{ inch}$

Since, the quadrilaterals RSTU and ABCD are congruent

Therefore, the corresponding sides and angles are also congruent.

So, sides RS and AB are congruent.

  $\begin{array}{l}\overline{RS}\cong \overline{AB}\\ \overline{RS}=\overline{AB}=18\text{ inch}\end{array}$

Hence , side $AB$ is $18\text{ inch}$