Question

MNOP is a trapezoid with a meadian QR. Find x.

Answer 1

D. x = 8

Explanation:

MNOP is a trapezoid with a meadian QR

So

QR = 1/2(NO + MP)

2(QR) = NO + MP

2(16) = 8 + 2x + 8

32 = 2x + 16

2x = 16

x = 8

Answer 2

The correct answer option is D. x = 8.

Explanation:

We are given a trapezoid MNOP with the median QR and we are to find the value of x.

If we observe the figure, we can see that the length QR is the double of NO which means 8 units are added to NO. So the ratio for NO and MP would be 1:3.

NO = 8

QR = 8 + 8 = 16

MP = 8 + 8 + 8 = 24

Finding x:

2x + 8 = 24

2x = 24 - 8

2x = 16

x = 8