Page 11 - Concepts of Reasoning-8

Example 3: What is the number of rectangles in the following filgure?

(a) 6 (b) 7 (c) 9 (d) 11

Solution: The figure may be labelled as shown below:

F
A E B
G I
H
J K

D L C

The simplest rectangles are AEHG, EFJH, FBKJ, JKCL and GILD i.e. 5 in number. The rectangles
composed of two components each are AFJG and FBCL i.e. 2 in number.
Only one rectangle namely AFLD Is composed of three components and only one rectangle
namely ABCD is composed of five components. Thus, there are 5 + 2+1+1=9 rectangles in the
given figure. Henice, the answer is (c).

EXERCISE
EXERCISE

Directions (1 to 7): In each of the following questions, find the minimum number of straight lines required to make
the given figure.

1.

(a) 14 (b) 16 (c) 18 (d) 20

2.

(a) 10 (b) 16 (c) 21 (d) 23

3.

(a) 22 (b) 21 (c) 24 (d) 25

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