Question

given a isosceles Trapezoid MNOP where MN =4x-4 , MP=2x+18 , PO=6x+7 , NO=4x-10 Find the length of MN.

Answer 1

To find the length of MN, set up an equation using the fact that an isosceles trapezoid has two congruent legs. Solve for x and substitute the value back into the length of MN.

Step-by-step explanation:

To find the length of MN, we need to set up an equation using the fact that an isosceles trapezoid has two congruent legs. So, we can set up the following equation:

MN = MP

4x - 4 = 2x + 18

Now, we can solve for x.

2x = 4x - 4 - 18

2x - 4x = -22

-2x = -22

x = -22 / -2

x = 11

Now substitute the value of x back into the length of MN:

MN = 4(11) - 4

MN = 44 - 4

MN = 40