Question

Design a class to overload functions area() as follows:
1.double area(int a,int b,int height)- returns the area of a trapezium using the formula:
AREA=1/2height(a+b)​

Answer 1

Answer:

We mark the points on the graph and get the triangle ABC as shown in the figure

The required area of triangle = area of DABD + area of trapezium EDEC − area of DACE

Equation of line AB⇒y=

2

3

(x+1)

Equation of line BC⇒y=−

2

x

+

2

7

Equation of line AC⇒y=

2

x

+

2

1

∴ Area of △ABC=∫

−1

1

(

2

3

x+

2

3

)dx+∫

1

3

(−

2

x

+

2

7

)dx+∫

−1

3

(

2

x

+

2

1

)dx

=[

4

3x

2

+

2

3

x]

−1

1

+[

4

−x

2

+

2

7

x]

1

3

−[

4

x

2

+

2

3

x]

−1

3

=(

4

3

+

2

3

−

4

3

+

2

3

)+(

4

9

+

4

21

+

4

1

−

2

7

)−(

4

9

+

4

3

−

4

1

+

4

1

)

=3+(

4

−9+42+1−14

)−(

4

9+6−1+2

)

=3+5−4=4 sq units