Question

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

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

Answer 1

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.