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Area of Rectangle

The perimeter...

Question

The perimeter of the shaded figure made out of 9 unit squares is equal to 20. What is the greatest number of squares we can connect to the shaded area so that the perimeter of the new figure would still be 20?

A

16

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B

7

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C

18

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D

12

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Solution

The correct option is A 16
$W e c a n m a k e i t a s q u a r e w i t h e a c h s i d e h a v i n g 5 s m a l l e r s q u a r e s . s o p e r i m e t e r w o u l d r e m a i n a t 20. S o w e c a n i n c l u d e 16 m o r e s m a l l s q u a r e s$

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