Counting of Squares and Rectangles
Counting of Squares and Rectangles
Counting of Squares and Rectangles
Example: Count the number of square in the following figure:
A. 18
B. 14
C. 10
D. 9
Answer : B
Explanation : We shall label the figure as shown below :
The simplest squares are AEML, EFNM, FBGN, NGHO, MNOP, LMPK, KPJD, POIJ and OHCI i.e. 9 in number. The squares composed of four components each are AFOK, EBHP , LNID and MGCJ i.e. 4 in number . There is only one square i.e. ABCD composed of nine components . Thus , there are 9+4+1 = 14 squares in the figure .
Example : Count number of squares in the given figure.
A. 6
B. 7
C. 10
D. 9
Answer : C
Explanation : Figure may be labelled as shown :
The square composed of two components each are ABKJ, BCLK, CDEL, LEFG, KLGH and JKHI i.e. 6 in number . There is only one square i.e. CEGK composed of four components . The square composed of 8 components each are ACGI and BDFH i.e. 2 in number . There are 6+1+2 = 9 squares in the figure.
In each of the following , count the number of squares in the given figure.
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| Right Option : C | |||
| View Explanation | |||
Count number of rectangles in the given figure.
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| Right Option : D | |||
| View Explanation | |||
Count the number of triangles and squares in the given figure .
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| Right Option : C | |||
| View Explanation | |||
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