Area of Trapezium

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Area of Trapezium: Overview

This Topic covers sub-topics such as Area of Trapezium

Important Questions on Area of Trapezium

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IMPORTANT

Select the correct answer from the given options:

Column A Column B
Area of a trapezium is _____ 4 m2
If the volume of a cube is 512 cm3, then the lateral surface area is _____. 64 cm
If the diagonal of a square is 8 m, then its area is _____. 12(Sum of the parallel sides)(Distance between them)
If the radius of a sector is 7 cm, then the perimeter of the sector of angle 45° is _____. 12(Product of the diagonals)
  256 cm2
  19.5 m2

  

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The parallel sides of a trapezium ABCD are 16 cm, 8 cm and the distance between them is 6 cm. AF and BE are the perpendiculars drawn to DC. Find the total area of the triangles ADF and BCE (in cm2).

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A farmer wants to purchase a land which is in the shape of trapezium. The lengths of its parallel sides are 18 ft, 15 ft and perpendicular distance between them is 20 ft. Find the total cost of the field at the rate of Rs. 2000 per square feet.

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In the given trapezoid PQRS, seg PQseg SR, then what is the area of trapezoid PQRS considering on the lengths of sides given in figure?

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Two parallel sides of a trapezium are 29 cm and 21 cm, Non-parallel sides are equal and each is of length 8.5 cm. What is the area of the trapezium ?

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For the trapezium given below, find its area up to two decimal places.

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A field is in the form of a trapezium. Its area is 1586 m2 and the distance between its parallel sides is 26 m. If one of the parallel sides is 84 m, find the other.

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The length of parallel sides of a trapezium are 51 cm and 21 cm, and that of each of the other two sides is 39 cm. What is the area (in cm2) of the trapezium?

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Area of a trapezium =12× _____ × distance between parallel sides

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Two triangles of height of length 13.5 cm and base of length 2.5 cmis joined along its height with a square of side 14.5 cm, to make a trapezium. Find the area of the trapezium.

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The area of a trapezium park is 147 m2. Its parallel sides are in the ratio 4 : 3 and the perpendicular distance between them is 7 m. Find the length of each of the parallel sides.

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The area of the top-view of a trapezium laboratory is 256 m2 and the width of the building is 8 m. If one of the parallel sides is 34 m, find the other.

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The area of a trapezium is 1270.5 cm2. If the lengths of its parallel sides are 59.3 cm and 61.7 cm, find the distance between them.

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Find the area of a trapezium whose parallel sides are 6.4 cm and 3.6 cm and the distance between them is 4 cm.

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A parallelogram, AGCD and a trapezium, ABCD are constructed on the same base (as shown in figure) and having same height of 7 cm. If area of parallelogram is 84 sq. cm then find the area of trapezium.

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The longer parallel side of trapezium is 50% more than the smaller parallel side.

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The area of a trapezium is 576 cm2 and length is 23 th of the smaller side. If the smaller side is half of longer side, find the height of the trapezium.

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The area of the trapezium is 72 m2 and the height is 6 m. If the difference between the sides is 12 m, find the length of the longer side.

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The area of a trapezium is 441 cm2. If the perpendicular distance between the parallel lines is 7 cm and the ratio of the parallel lines is 3:4. Find the length of the smaller side.

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In a trapezium shaped park there is a road on diagonal of length 36 cm. From other two remaining corner of the park a perpendicular road is connected to diagonal. Length of perpendicular road is 17 cm and 18 cm respectively. Then the area of park is _____? 

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The sum total of the area of 2 trapeziums is

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