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Question

Question: Number of rectangles in fig. shown which are not squares is ![](https://cdn.pureessence.tech/canvas...

Number of rectangles in fig. shown which are not squares is

A

159

B

160

C

161

D

None

Answer

160

Explanation

Solution

Total number of rectangles

= 7C2 × 5C2 – No. of squares

= 210 – No. of squares

\ Number of squares

= 24 + 15 + 8 + 3 = 50

Æ Æ Æ Æ

\binom { 1 \times 1 } { area } (2×2area)\left( \begin{aligned} & 2 \times 2 \\ & area \end{aligned} \right) \binom { 3 \times 3 } { area } (4×4area)\left( \begin{aligned} & 4 \times 4 \\ & area \end{aligned} \right)