Q:

The perimeter of the parallelogram is 102 feet. Find m. Write your answer as a decimal or mixed number. The length is 3m and the width is m.

Accepted Solution

A:
Perimeter = 2(Length + Width)     | Formula for perimeter
102 = 2(3m + m)                             | Plug in value of length and width
102 = 2(4m)                                    | Combine like terms
102 = 8m                                        | Distribute 2
8m = 102                                        | Flip LHS and RHS 
m = 12.75m                                    | Divide by 8 on both sides

Answer m = 12.75 ft