Question

A field in the form of a parallelogram has one of its diagonals 42m long and the perpendicular distance of this diagonal from either of the outlying vertices is 80 cm. Find the area of the field.​

Answer 1

Answer:

As 1dm=0.1m ⇒10m8dm=10.8m

Area of ABCD=Aera of △ADC+Aera(△ABC)

Area of triangle =

2

1

×base×height

⇒Area of ABCD =

2

1

×10.8×42+

2

1

×10.8×42

=10.8×42=453.6m

2

.

Answer 2

Answer:

R.E.F image

As 1dm=0.1m ⇒10m8dm=10.8m

Area of ABCD=Aera of △ADC+Aera(△ABC)

Area of triangle =

2

1

×base×height

⇒Area of ABCD =

2

1

×10.8×42+

2

1

×10.8×42

=10.8×42=453.6m

2

.