Question

Find the area of the composite figure

Answer 1

Answer:

Therefore the area of Composite figure is 44 unit².

Step-by-step explanation:

Consider the composite Figure as

One Trapezoid and Two Triangles

One Square box = 1 unit

Dimension for Trapezoid:

Parallel Base Sides , i.e a= 3 units and b = 5 units

Height = 3+5 = 8 Units

Dimension for Both the Triangle is same :

Base = 4 units

Height = 3 units

To Find:

Area of the Composite Figure = ?

Solution:

For Composite Figure

$\textrm{Area of the Composite Figure}=\textrm{Area of the Trapezoid}+\textrm{Area Of Two Triangles}$........( 1 )

Now For Trapezoid we have

$\textrm{Area of the Trapezoid} =0.5\times \textrm{Sum of Parallel sides}\times Height$

Substituting the given values we get

$\textrm{Area of the Trapezoid} =0.5\times (a+b)\times Height=0.5(8)(8)=32$

Now for Triangle we have

$\textrm{Area of the Triangle} =0.5\times Base\times Height$

Substituting the given values we get

$\textrm{Area of the Triangle} =0.5\times 4\times 3=6$

Therefore Area of anther Triangle will be also SAME i.e 6

Therefore Substituting Area trapezoid and triangle in equation  ( 1 ) we get

$\textrm{Area of the Composite Figure}=32+ 6+ 6=32+12=44\ unit^{2}$

Therefore the area of Composite figure is 44 unit².