question_answer

How many rectangles does the following figure have?

A)  10                                         

B)  15

C)  12                         

D)         13

Correct Answer: A

Solution :

The figure may be labelled as shown. The rectangles are as listed below. BCLJ, DENL, NFGH. HPAJ, JBCL          \[\to 4\] The rectangles composed of 2 components, BCNH, JLFG, DEHJ, ALNP                    \[\to 4\] The rectangles composed of 3 components BCFG.ADEP                                           \[\to 2\] Total number of rectangles              \[\underline{\overline{\to 10}}\]