# Find the area of a rectangle if the perimeter is known = 18 cm, and one of the sides is 1 cm larger than the other?

September 28, 2021 | education

| The perimeter of a rectangle is found by the formula: P = 2 (a + b), where a and b are the sides of the rectangle.

Find the sum of the sides if the perimeter is 18:

a + b = 18/2 = 9

Since a is larger by 1 cm, then we express it as follows:

a = b + 1.

Let’s make an equation.

b + 1 + b = 9

2b + 1 = 9

2b = 8

b = 4

Let’s find side a.

a = 4 + 1 = 5 cm.

The area of the rectangle is a * b.

Let’s find the area of our rectangle, knowing that one side of the wound is 4 cm, the other 5 cm.

4 * 5 = 20 cm ^ 2.

Answer: The area of the rectangle is 20 cm ^ 2.

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