Question

Area of the following figure is sq units.

• A. 17
• B. 29
• C. 25

Answer 1

The correct option is B 29

Decompose the given figure down into known shapes
and known measurements.


For the red and green colored triangle:
Base = 2 units; Height = 4 units

For the blue colored triangle:
Base = 3 units; Height = 6 units

For the yellow colored rectangle:
Length = 3 units
Width = 4 units.

$\text{Area of a triangle}=\frac{1}{2}\times \text{base}\times \text{height}$

Area of a rectangle = length × width

So,
Area of red colored triangle = Area of green colored triangle
$=\frac{1}{2}\times 2\times 4\text{sq units}$
= 4 sq inches

$\text{Area of blue colored triangle}=\frac{1}{2}\times 6\times 3$
= 9 sq units

Area of the yellow colored rectangle
$\text{is:}=4\times 3\text{sq units}$
= 12 sq units

Total area of the given figure:
= Area of red colored triangle + Area of green colored triangle + Area of blue colored triangle + Area of yellow colored rectangle

= 9 + 4 + 4 + 12 sq units
= 29 sq units