Question

Find the area of the figure given below (in sq. inches).

• A. 48
• B. 64
• C. 84
• D. 96

Answer 1

The correct option is C 84

The area of the figure can be calculated in three steps:

i) Find the area of the small rectangle.

ii) Find the area of the large rectangle.

iii) Find the area of the triangle

i) Area of the small rectangle = length x breadth = 5 x 6 = 30 inches²

ii) Area of the large rectangle = 12 x 4 = 48 inches²

iii) Area of the triangle =
= $\frac{1}{2}\times base\times height$
= 6 inches²

Area of the shape = Area of the small rectangle + Area of the large rectangle + Area of the triangle = (30 + 48 + 6) inches² = 84 inches²