Question

Find the area of the given figure.

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

Answer 1

The correct option is C

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 + area of the rectangle

$=[\frac{1}{2}$ $\times$ base $\times$ corresponding height] + [length$\times$ breadth]

$=[\frac{1}{2}$ $\times$ 9 $\times$ 4] + [ 9 $\times$ 6 ]

$=18+54$ sq units

$=72$ sq units