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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