Question

Anna made a shape with some matchsticks, as shown below. Find the total area of the shape (in sq. in.)

• A. 136

Answer 1

The correct option is A 136

The shape also can be respresented as:


From the above figure, we observe that the given shape can be divided into a rectangle and a square.

$\text{Area of the square}={\text{side}}^2$
$=8^2$
$=64\text{sq. in}$

$\text{Area of the rectangle}=\text{l}\times \text{b}$
$=18\times 4$
$=72\text{sq. in}$

So,
Area of the given shape = Area of rectangle + Area of square
⇒ Area of the given shape = 64 sq. in + 72 sq. in
⇒ Area of the given shape = 136 sq. in