Question

EFGH is a parallelogram. Find the measure of EG. parallelogramefghmsidesw7 The measure of EG is .

Answer 1

Answer: EG = 80

Explanation: A parallelogram is a quadrilateral with opposite sides parallel to each other.

The diagonals of a parallelogram bisect each other, which means, using the figure as example:

EJ = JG

So, to determine EG, first find w:

`4w+4=2w+22`

`2w=18`

w = 9

Substituting:

`EJ=4w+4`

`EJ=4(9)+4`

EJ = 40

Since each segment has the same measure:

EG = 2EJ

EG = 2(40)

EG = 80

The measure of EG is 80 units