Question

In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15. What is the length of line segment EB?

42 units
50 units
65 units
73 units

Answer 1

The first thing we must do is find the value of p.

For this, we use the following equality:

`image`

Substituting values we have:

`image`

Clearing the value of p we have:

`image`

Then, we look for the length of EB.

We know that:

`image`

Substituting values we have:

`image`

Answer:

the length of line segment EB is:

65 units