Area of Trapezium

IMPORTANT

Area of Trapezium: Overview

This topic explains that a trapezium is a quadrilateral in which a pair of sides is parallel but the other pair of opposite sides are non-parallel. The area of a trapezium is equal to product 12 and the sum of parallel sides and distance between them.

Important Questions on Area of Trapezium

MEDIUM
IMPORTANT

Derive area of trapezium formulae using a triangle.

EASY
IMPORTANT

Find the area of a trapeziumin2 whose bases are 22 in and 10 in and whose height is 5 in.

HARD
IMPORTANT

Derive formula for area of trapezium by transforming it into a triangle. Then, find area of the trapezium shown.

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HARD
IMPORTANT

Derive formula for area of trapezium by transforming it into a triangle. Then, find the sum of parallel sides if area and the height are 270 cm2 and 12 cm respectively.

HARD
IMPORTANT

Derive formula for area of trapezium by transforming it into a triangle. Then, find the height if area and the sum of parallel sides are 216 cm2 and 48 cm respectively.

MEDIUM
IMPORTANT

Find formula for area of given trapezium by triangulation. Then find the height, if the area and sum of parallel sides are 165 cm2 and 33 cm respectively.

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MEDIUM
IMPORTANT

Find formula for area of given trapezium by triangulation. Then find its sum of parallel sides if area and height are 64 cm2 and 4 cm respectively.

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MEDIUM
IMPORTANT

Find formula for area of given trapezium by triangulation.

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MEDIUM
IMPORTANT

Derive formula for area of trapezium by transforming it into a triangle. Then find the area of trapezium shown.

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MEDIUM
IMPORTANT

Derive formula for area of trapezium by transforming it into a triangle.

MEDIUM
IMPORTANT

Find formula for area of trapezium by triangulation and, then find area of trapezium given below.

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MEDIUM
IMPORTANT

Find formula for area of trapezium by triangulation.

EASY
IMPORTANT

The sum total of the area of 2 trapeziums is

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EASY
IMPORTANT

What is the area of the trapezium portion C?

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MEDIUM
IMPORTANT

If the values of perimeter and sum of lengths of the parallel sides of an isosceles

trapezium are given, can we find the length of the other two sides?

EASY
IMPORTANT

Mason Nagaraj measured the distance around a trapezoidal plot and found it to be 203ft. What is this measurement known as?

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EASY
IMPORTANT

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Two symmetrical trapeziums are joined together to form aboard which is in the shape of a hexagon. The area of the board is _____$ \text{c}{m}^{2}$.

 

 

 

HARD
IMPORTANT

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ABCD is a square of side 6 cm. If M is the mid-point of BC, area of ABMD $ =$_____$ \text{c}{m}^{2}$.

 

 

 

MEDIUM
IMPORTANT

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There is a 12 ft by 12 ft fountain in the middle of a 30 ft by 30 ft square ground. The fountain is surrounded by 4 seating ledges as shown in the figure above.

The area of each of the seating ledge is _____$ \text{f}{t}^{2}$.

 

 

 

 

EASY
IMPORTANT

The area of a trapezium is 312 $ {m}^{2}$and its height is 6 m. If the difference between 2 of its lengths of the parallel sides is 12 m, the longer parallel side is _____m.