The perimeter of the rectangle is 36 cm. The sum of the lengths of its three sides is 25 cm. What is the area of this rectangle?

The perimeter is the sum of the lengths of the sides of the shape. A rectangle has two pairs of two sides that are equal and parallel to each other. The perimeter of the rectangle is: P = a + a + b + b = 2 (a + b)
Let’s write down the condition of the task
a + a + b + b = 36
a + a + b = 25
Subtract the second from the first equation and get:
b = 36-25 = 9
Subtract this b from the second equation and divide by 2 to find a
25-9 = 16
a + a = 16
a = 16/2 = 8
The area of a rectangle is the product of two adjacent sides on top of each other. The area of the rectangle is:
S = a * b
S = 9 * 8 = 72 cm square.