The perimeter of the rectangle is 36.8 cm, and one of its sides is 14.8 cm. Calculate the area of the rectangle.

The perimeter of a rectangle is the sum of the length and width multiplied by 2, that is, P = 2 (a + b). By the problem statement, we know the perimeter and one of the sides of the rectangle. You can find the second side of the rectangle, for this a = P / 2 – b. Substitute our values to find the other side: a = 36.8 / 2 – 14.8 = 3.6 cm.

Knowing both sides of the rectangle, we find the area of the rectangle S = a * b = 3.6 * 14.8 = 53.28 cm2.

Answer: the area of the rectangle is 53.28 cm2.



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