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20. Mensuration-I (Area of a Trapezium and a Polygon)
Home · Class 8 · Maths · Ref. Book · 20. Mensuration-I (Area of a Trapezium and a Polygon)
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Q4 of 47 Page 20

A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.


Area of the plot = area of the rectangle - 4 × area of one quadrant


Radius of semi-circle = 3.5 m


Area of four quadrants = area of one circle


Area of the plot = length × breadth + πr2


Area of the plot = 20 × 15 -


Area of the plot = 300 – 38.5 = 261.5 m2


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2

A plot is in the form of a rectangle ABCD having semi-circle on BC as shown in Fig. 20.23. If AB = 60 m and BC = 28 m, Find the area of the plot.

3

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.)

5

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6

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Questions · 47
20. Mensuration-I (Area of a Trapezium and a Polygon)
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