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Question

If the small squares are of unit area, which crazy shape represents an area of 31 square units?

A
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B
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C
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D
(a) and (c) above.
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Solution

The correct option is D (a) and (c) above.
To find out the area of the crazy shapes, we have to count the number of squares occupying the space inside the shapes.

For a:


Since 31 small squares of unit area each entirely occupy the space inside the shape, the area of the shape is 31 square units.

For b:



This shape is made up of 32 small squares, so its area is 32 square units.

For c:



Similary for this shape, we can see 31 small squares of unit area covers the area thus its area is also 31 square units.

Therefore option 'd' is correct.

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