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A playground has the shape of a rectangle, with two semi-circles on its smaller sides as diameters, added to its outside. If the sides of the rectangle are 36 m and 24.5 m, find the area of the playground. (Take π= 22/7.)

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Area of the plot = area of the rectangle + 2 × area of one semi-circle

Radius of semi-circle = \(\frac{BC}{2}\) = \(\frac{24.5}{2}\) = 12.5 m

Area of the plot = length × breadth + \(\frac{2\times πr^2}{2}\)

Area of the plot = 36 × 24.5 + \(\frac{22}{7}\) x 12.25 x 12.25

Area of the plot = 882 + 471.625 = 1353.625 m2

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