Question

0.15
Area of the quadrilateral formed by the vertices (0,0)(0,4),(40) and (26) is​

Answer 1

Step-by-step explanation:

Consider the given points.

(1,1),(0,1),(0,0) and (1,0)

We know that the area of the quadrilateral

=

2

1

[(x

1

y

2

+x

2

y

3

+x

3

y

4

+x

4

y

1

)−(x

2

y

1

+x

3

y

2

+x

4

y

3

+x

1

y

4

)]

where (x

1

,y

1

),(x

2

,y

2

),(x

3

,y

3

),(x

4

,y

4

) are the vertices of the quadrilateral

So,

Area =

2

1

[(1×1+0×0+0×0+1×1)−(0×1+0×1+1×0+1×0)]

=

2

1

[(1+0+0+1)−(0+0+0+0)]

=

2

1

[2−0]

=

2

1

×2=1 sq. units

Hence, this is the answer.

Answer 2

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