# The perimeter of the rectangle is 72cm, its length is 23cm. Find the area of the rectangle.

December 28, 2020 | education

| You can express the width of the rectangle from the formula to calculate its perimeter. Since the opposite sides of such a figure are equal, it corresponds to the formula:

P = 2a + 2b. By condition, the sum of all sides is 72 cm, length = 23 cm.

Let’s write the equation, substituting the known values:

2 * 23 + 2b = 72.

Variables are always shown on the left and known values on the right. When transferring, the sign in front of them changes to the opposite.

2b = 72 – 46 = 26.

To find the second factor, divide the product by the first:

b = 26: 2 = 13 cm.

Square:

S = a * b = 23 * 13 = 299 cm².

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