Question

Find the area of the given composite figure.

• A. $60$ square units
• B. $72$ square units
• C. $84$ square units
• D. $48$ square units

Answer 1

The correct option is A $60$ square units


This composite figure is a little different.

There are two ways to look at it.

• In addition to various simple figures
• As a 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.

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