Page 59 - Concepts of Reasoning-8

Worksheet-12.2

Area of Polygons

1. Divide each of the polygons into triangles and quadrilaterals and choose the correct division given
in the options :
a. i. 1 triangle, 1 quadrilateral ii. 1 triangle, 2 trapeziums

iii. 2 trapeziums iv. 1 square, 1 rectangle

b. i. 1 triangle, 1 trapeziums ii. 2 triangles, 2 trapeziums

iii. 4 triangles iv. 2 triangles, 1 trapezium

c. i. 4 triangles ii. 3 triangles

iii. 2 triangles, 2 trapeziums iv. 1 triangle, 1 quadrilateral

2. Find the area of the following figures :
a. C b. D c. K L

5 cm 3 cm 5 cm
5 cm E
D B 25 cm
8 cm P M
2 cm 13 cm
C
6 cm 4 cm 6 cm

E 3 cm A F O N

O
3. Solve the following word problems : N

a. MNOPQ is a polygon which is divided into different parts
S
as shown below. Find its area if MP = 8cm, MT = 6 cm, MS = M R T P
4 cm, MR = 3 cm, NR = 2 cm, OT = 3 cm and QS = 2.5 cm.

Q
F
20 cm
I E
b. Find the area of a plot having the shape and dimensions as 10 cm
A H
shown below.
50 cm 80 cm
30 cm
B G
20 cm
D
C 70 cm
59 Reasoning - 8