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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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Q9 of 47 Page 20

Find the area of Fig. 20.35 as the sum of the areas of two trapezium and a rectangle.

Area of figure = Area of two trapeziums + area of rectangle


Length of rectangle = 50 cm


Breadth of rectangle = 10 cm


Length of parallel sides of trapezium = 30 cm and 10 cm


Distance between parallel sides of trapezium =


Area of figure =


Area of figure = 2 ×


Area of figure = 400 = 900 cm2


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7

Find the area of a trapezium whose parallel sides of lengths 10 cm and 15 cm are at a distance of 6 cm from each other. Calculate this area as

(i) the sum of the areas of two triangles and one rectangle.


(ii) the difference of the area of a rectangle and the sum of the areas of two triangles.

8

The area of a trapezium is 960 cm2. If the parallel sides are 34 cm and 46 cm, find the distance between them.

10

Top surface of a table is trapezium in shape. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.

11

The cross-section of a canal is a trapqzium in shape. If the canal is 10 m wide at the top 6 m wide at the bottom and the area of cross-section is 72 m2 determine its depth.

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