PRACTICE PROBLEMS ON FINDING THE AREA OF TRAPEZIUM

Find the Area of the Trapezium shown in the Following Figures

Problem 1 :

Solution

Problem 2 :

The shape of the top surface of a table is a trapezium. Find its area, if its parallel sides are 1 m and 1.2 m and perpendicular distance between 0.8 m.

Solution

Problem 3 :

The wall is in the shape as shown below has to be painted. If one can of paint covers 0.5 m2, how many cans of paint will be needed, if only one coat of paint is applied ?

Solution

Problem 4 :

Solution

Problem 5 :

Find the missing values.

Solution

Answers :

1)  A  =  34 cm2 

2)  A  =  8.8 m2

3)   85

4)  A  =  448 ft

5) (i)  160 sq. cm  (ii) h  =  24 cm  (iii) a  =  18 m  (iv)  b =  30 cm

Word Problems on Finding Area of Trapezium

Problem 1 :

In a trapezium the measurement of one parallel side two more than the other parallel side and the height is 4 cm. The area of the trapezium is 64 cm2. Find the lengths of the two parallel sides.

Solution

Problem 2 :

Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm.

Solution

Problem 3 :

The area of a trapezium is 1586 sq. cm. The distance between its parallel sides is 26 cm. If one of the parallel sides is 84 cm then, find the other side.

Solution

Problem 4 :

The area of a trapezium is 1080 sq. cm. If the lengths of its parallel sides are 55.6 cm and 34.4 cm, find the distance between them.

Solution

Problem 5 :

The area of a trapezium is 180 sq. cm. and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the length of the parallel sides.

Solution

Problem 6 :

The sunshade of a window is in the form of isosceles trapezium whose parallel sides are 81 cm and 64 cm and the distance between them is 6 cm. Find the cost of painting the surface at the rate of $ 2 per sq. cm.

Solution

Problem 7 :

A window is in the form of trapezium whose parallel sides are 105 cm and 50 cm respectively and the distance between the parallel sides is 60 cm. Find the cost of the glass used to cover the window at the rate of $ 15 per 100 sq. cm.

Solution

Problem 8 :

The length of one base of a trapezoid is 27 feet, and the length of the other base is 34 feet. The height is 12 feet. What is its area?

Solution

Problem 9 :

The height of a trapezoid is 8 in. and its area is 96 square inches. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases?

Solution

Answers :

1)  a  =  17 cm and b  =  15 cm

2)  A  =  330 sq. cm

3)  Length of the other side is 38 cm

4)  h  =  24 cm

5)  a  =  17 cm and b  =  23 cm 

6)   $ 870

7)  $ 697.5

8)  A  =  366 ft

9)  Lengths of the bases are 15 inches and cm and 9 inches. 

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