Question

Find the area of the composite figure

Answer 1

Therefore the area of Composite figure is 44 unit².

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* \textrm{Sum of Parallel sides}* Height`

Substituting the given values we get

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

Now for Triangle we have

`\textrm{Area of the Triangle} =0.5* Base* Height`

Substituting the given values we get

`\textrm{Area of the Triangle} =0.5* 4* 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.