Question

Find the area of the following shape (in sq. cm).

• A. $84{cm}^2$
• B. $68{cm}^2$
• C. $48{cm}^2$
• D. $36{cm}^2$

Answer 1

The correct option is C $48{cm}^2$

Area of the above shapes can be calculated in two steps:

i) Area of shape marked 1

ii) Area of shape marked 2

Area of shape marked 1 = Area of rectangle
$=length\times breadth$

$=4\times 9$

$=36{cm}^2$

Area of shape marked 2 = Area of triangle
= $\frac{1}{2}\times base\times height$

= $\frac{1}{2}\times 6\times 4$

$=12{cm}^2$

Area of shape = Area of shape marked 1+ Area of shape marked 2

$=(36+12){cm}^2$
$=48{cm}^2$