Question

Determine the area enclosed by the grid region.

• A. $72$ square units
• B. $62$ square units
• C. $60$ square units
• D. None of the above

Answer 1

The correct option is C $60$ square units


This composite figure is a little different.

There are two ways to look at it.

1. As addition to various simple figures
2. As subtraction of various simple figures

The second approach is short and simple.
We can break this figure into a large rectangle out of which a L - shaped figure has been removed.



Area of rectangle $=$ length $\times$ breadth

Area of the large rectangle $=9\times 8$

$=72$ square units

Area of L - shaped figure $=$ Area of three squares

We can see that the L - shaped figure is made up of three small squares of side length $2$ units as depicted in below figure,


Area of one square $=$ side $\times$ side

$=2\times 2=4$ square units

Area of three squares $=3\times 4=12$ square units

Area of composite figure $=$ Area of rectangle $-$ Area of L - shaped figure

$=72-12=60$ square units

Therefore, (c) is the correct option