Question

Find EF in the trapezoid. What is EF?

Answer 1

The middle line is equal to 1/2(top + bottom)

3x + 6 = 1/2(5 + 7x + 5)

3x + 6 = 1/2(7x + 10)

Expand the right side:

3x + 6 = 7x/2 + 5

Subtract 6 from both sides:

3x = 7x/2 -1

Multiply both sides by 2

6x = 7x -2

Subtract 7x from both sides

-x = -2

Multiply both sides by -1

X = 2

Now you have a value for x solve for EF:

EF = 3(2) + 6 = 6 + 6 = 12

Answer: EF = 12