Question

Find the area of the given figure.

• A. 37 sq units
• B. 72 sq units
• C. 72 units
  
• D. 37 units

Answer 1

The correct option is B

72 sq units

The given figure can be considered as the combination of a triangle and rectangle.
From the figure,
Length of the rectangle = 9 units
Breadth of the rectangle = 6 units
Height of the triangle = (10 - 6) = 4 units
Base of the triangle = length of the rectangle = 9 units
Now, area of the given figure = area of the triangle + rectangle
$\Rightarrow$ Area of the given figure = [$\frac{1}{2}$ $\times$ height $\times$ base] + [length$\times$ breadth]
$\Rightarrow$ Area of the given figure = [ $\frac{1}{2}$ $\times$ 4 $\times$ 9] + [ 9 $\times$ 6 ]
$\Rightarrow$ Area of the given figure = (18 + 54) sq units = 72 sq units