The perimeter of the rectangle below is 150 units Find the l

The perimeter of the rectangle below is 150 units. Find the length of side AB. Write your answer without variables.

Solution

perimeter of rectangle = AB+BC+CD+DA = 4Z+1 + 5Z+2 + 4Z+1 + 5Z+2 = 18Z+6 =150 UNITS

SO 18z+6 = 150

=> 6*[3z+1] = 150

=> 3z+1 = 150/6 = 25

3z= 25-1 = 24

z= 24/3 = 8

so length of side AB = 4z+1 = 4*8 +1 = 33 units