# The perimeter of the rectangular sports hall is 110 m. The width of the hall is 25 m. Find the area of the hall.

January 15, 2021 | education

| Let’s write a formula to calculate the perimeter of a rectangle:

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

Substituting into the original formula, we get: 2 * (a + 25) = 110.

Let’s solve the equation, find the width of the rectangle: 2a + 50 = 110.

2a = 110 – 50 = 60.

a = 60/2 = 30 m.

Let us now find the area of a rectangular sports hall: S = a * b = 25 * 30 = 750 m².

Answer: the area of a rectangular sports hall is 750 m².

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