Question

Find the area of the given figure.

• A. 70 sq unit
• B. 72 sq unit
• C. 72 units
• D. 70 units

Answer 1

The correct option is B

72 sq unit

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