Question

The quadrilateral shown is a rectangle. What is the measure of CE?

Answer 1

I’m going to assume this is the same one I had, in which one part inside of the rectangle was labeled 14, and the bottom outer part was labeled 30.

The correct answer to this question is 14.

Answer 2

|CE|=2

Explanation:

The quadrilateral is shown in the attachment

Recall that the diagonals of a rectangle are congruent.

This implies that:

|AC|=|BD|

We substitute the expressions to get:

`2x-6=5x-21`

This is now a linear equation in one variable.

Group similar terms to get:

`-6+21=5x-2x`

Simplify to get:

15=3x

Divide both sides by 3 to get:

`5=x`

Recall again that the diagonals of a quadrilateral bisect each other.

`|CE|=(1)/(2)|AC|`

`|CE|=(1)/(2)|2x-6|`

Plug x=5

`|CE|=(1)/(2)|2*5-6| =10-6=(1)/(2)*4=2`