Page 64 - Concepts of Reasoning-8

CHAPTER

Worksheet-13.1 Area 13

Area of Trapezium and Rhombus

1. Choose the correct answer :
a. If the area of a trapezium is 50 sq. cm with one parallel side being 5 cm and height being 10 cm,
then the length of the other parallel side is __________ .

i. 10 cm ii. 15 cm iii. 25 cm iv. 5 cm
b. If the parallel sides of a trapezium are 4.5 cm and 1.5 cm and the distance between them is 9 cm.
Then the area of that trapezium is __________ .
i. 72 sq. cm ii. 27 sq. cm iii. 54 sq. cm iv. 22. 5 sq. cm

2. Fill the unknown parameter and fill in the box :
Area of the trapezium (sq. cm) a (cm) b (cm) c (cm)

a. 72 3 5

b. 4.8 6.2 5
c. 50 4.5 5.5

3. Solve the following word problems :
a. The surface of a boat is in the shape of a trapezium whose bases
are 11 m and 14.5 m respectively with 40 m being the distance
between them. How much cloth is required to cover that surface
of the boat?
2
b. The area of a trapezium is 147 cm whose parallel sides are in the
ratio 2 : 5 and the perpendicular distance between them is 14
cm. What is the length of each of the parallel sides?

c. The height of a trapezium is 5 ft. If the top base is half the height and bottom base is double the
height then find the area.
d. The surface of the popcorn tub has an area of 19 sq. cm with its bases measuring 4.4 cm and 7.6
cm respectively. Calculate the distance between the parallel sides.

4. Solve the following word problems :
a. The area of rhombus is 27 sq. cm with one of its diagonals being 15 cm. What is the length of the
other diagonal?

b. The perimeter of the rhombus is 80 m and one diagonal measures 24 m. Find the area of the
rhombus.
c. 1050 titles of the play area of an apartment are rhombus-shaped with their diagonals being 12
ft and 15 ft. What is the cost of covering the play area if the cost per square feet is `2?

64 Reasoning - 8