The perimeter of the rectangle is 150cm. The length of the rectangle is 9 cm longer than the width.

The perimeter of the rectangle is 150cm. The length of the rectangle is 9 cm longer than the width. Find the sides and area of the rectangle.

The solution of the problem:
Since the perimeter of a rectangle is equal to the sum of all its sides, and the area is equal to the product of length and width, we need to find the length and width of this rectangle.
1. The width of the rectangle is x centimeters.
2. Find the length of the rectangle.
(x + 9) centimeters.
3. Let’s compose and solve the equation:
2 * x + 2 * (x + 9) = 150
2x + 2x + 18 = 150
4x = 150-18 = 132
x = 132/4
x = 33

4. The width of the rectangle is x = 33 centimeters.
5. The length of the rectangle is x + 9 = 33 + 9 = 42 centimeters.
6.Let’s find the area of the rectangle.
33 * 42 = 1386 sq. cm.
Answer: The length of the rectangle is 42 cm. The width is 33 cm. The area is 1386 sq. cm.