# The perimeter of the rectangle is 36 cm. The length of the rectangle is 12 cm. find the area of the rectangle.

March 29, 2021 | education

| In order to find the area of a rectangle, you need to know the lengths of the sides of the rectangle.

We know the value of the length of the rectangle, it is 12 cm. We also know the perimeter of the rectangle.

P = 2 (a + b), where a and b are the length and width of the rectangle.

2 (12 + x) = 36;

We solve the resulting equation:

12 + x = 36: 2;

12 + x = 18;

We are looking for an unknown term:

x = 18 – 13;

x = 5 cm – the width of the rectangle.

Let’s remember the formula for finding the area of a rectangle:

S = a * b = 12 * 5 = 60 cm ^ 2 area of a rectangle.

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