Question

If each square in the grid occupies an area of 1 sq units, then what is the area of the irregular shape?

• A. 23

Answer 1

The correct option is A 23

We analyse the shape in terms of full-filled, half-filled, more than half-filled and less than half-filled squares.

We consider the more than half-filled squares as full squares and ignore the less than half-filled squares.

Number of full-filled squares ( in yellow) = 16

Number of more than half-filled squares (in blue) = 4

Number of half-filled squares (in green) = 6

$\therefore$ Area of the irregular shape
= (Number of full-filled squares +
Number of more than half-filled squares+
$\frac{1}{2}\times$ Number of half-filled squares) sq units.

= (16 + 4 +$\frac{1}{2}\times$6) sq units

= (16 + 4 + 3) sq units

= 23 square units