Question

LMNO is a parallelogram. Determine the length of side LM

Answer 1

Answer:

  LM = 23

Step-by-step explanation:

Opposite sides of a parallelogram are the same length, so you can use sides LO and MN to find the value of x:

  21 = 4x -7

  28 = 4x

  7 = x

Then use that value in the expression for the side length NO:

  NO = 3x +2 = 3·7 +2 = 23

Since LM is the same length as NO, LM = 23.