Question

following are the vertices of rhombus(-1,4),(4,5),(3,0)and (-1,4).find area in square unit. ​

Answer 1

Answer:

REF.Image

Let the points are A(3,0), B(4,5), C(-1,4) and D(-2,-1)

BD=

(−2−4)

2

+(−1−5)

2

=

(−6)

2

+(−6)

2

=

36+36

=

72

=6

2

units

AC=

(−1−3)

2

+(4−0)

2

=

(−4)

2

+(4)

2

=

16+16

=

32

Now, area of rhombus ABCD

=

2

1

× (Product of diagonals)

⇒ Area of rhombus =

2

1

×(AC×BD)

=[

2

1

×4

2

×6

2

] sq. units

=(2

2

×6

2

) sq. units = 24 sq. units.

Answer 2

Answer:

answer in the attachment