Question

Find EF in the trapezoid.

EF=
B
E
>
5
D
3x +5
7x +3
F
C

Answer 1

The length of EF is 11

EF is the median of the trapezoid ;

• EF = 1/2(AD + BC)

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

3x + 5 = 1/2(7x + 8)

2(3x + 5) = 7x + 8

6x + 10 = 7x + 8

6x - 7x = 8 - 10

-x = -2

x = 2

To find EF :

• 3(2) + 5

EF = 6 + 5

EF = 11

Hence, length of EF is 11