The half-perimeter of a rectangle is 64 cm. Its large side is 44 cm. What is the smaller side of the rectangle?

Given:
ABCE – rectangle,
BC = 44 centimeters,
semi-perimeter ABCE is 64 centimeters.
Find the length of the side AB -?
Solution:
Consider the rectangle ABCE. Its opposite sides are equal to each other, then BC = AE = 44 centimeters, AB = CE.
If the ABCE semi-perimeter is 64 centimeters, then the perimeter is 128 centimeters.
P avce = AB + CE + BC + AE;
128 = AB + AB + 44 + 44;
128 = 2 * AB + 88;
2 * AB = 128 – 88;
2 * AB = 40;
AB = 40: 2;
AB = 20 centimeters.
Answer: 20 centimeters.