The figure may be labeled as shown.
The simplest rectangles are ABQP, PQNO, BCDN, NDEM, MEFL, LFJK, FGHR and RHIJ i.e. 8 in number.
The rectangles composed of two components each are ABNO, BCEM, NDFL, MEJK and FGIJ i.e. 5 in number.
The rectangles composed of three components each are ACDO, BCFL, NDJK and LGIK i.e. 4 in number.
There is only one rectangle i.e. BCJK composed of four components.
Total number of rectangles in the figure = 8 + 5 + 4 + 1 = 18.
The figure may be labeled as shown.
The squares 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 squares composed of eight components each are ACGI and BDFH i.e. 2 in number.
There are 6 + 1 + 2 = 9 squares in the figure.
The figure may be labeled as shown.
There are 13 circles in the given figure. This is clear from the adjoining figure in which the centres of all the circles in the given figure have been numbered from 1 to 13.
The figure may be labeled as shown.
The simplest squares are BCNM, CDON, PQIJ and QRHI i.e. 4 in number.
The squares composed of two components each are MNTS, NOUT, STQP and TURQ i.e. 4 in number.
The squares composed of five components each are ACTL, CEFT, TFGI and LTIK i.e. 4 in number.
The squares composed of six components each are BDUS and SUHJ i.e. 2 in number.
There is only one square i.e. MORP composed of eight components.
There is only one square i.e. AEGK composed of twenty components.
Total number of squares in the figure = 4 + 4 + 4 + 2+1 + 1 = 16.
The figure may be labeled as shown.
The pentagons in the figure, are ABDFH, CDFHB, EFHBD, GHBDF, ACDFG, CEFHA, EGHBC, GABDE, BDEGH, DFGAB, FHACD and HBCEF. Clearly, these are 12 in number.
The figure may be labeled as shown.
The rectangles composed of two components each are HIJE, EKJ,F, FMNG, GPQH, AEOH, EBFO, OFCG and HOGD i.e. 8 in number.
The rectangles composed of four components each are ABFH, BCGE, CDHF, DAEG and EFGH i.e. 5 in number.
The rectangles composed of six components each are IJFG, KLGH, MNHE and PQEF i.e. 4 in number.
The rectangles composed of eight components each are IJMN, KLPQ and ABCD i.e. 3 in number.
Thus, there are 8 + 5 + 4 + 3 = 20 rectangles in the given figure.
(Here note that the squares are also counted amongst rectangles)
Answer & Explanation
View Answer
Workspace
Discussion
