Question

A field in the form of a parallelogram has one diagonal of 42 m long and the perpendicular distance of this diagonal from either of the outlying vertices is 10 m as shown in the figure.
Find the area of the field.​

Answer 1

Answer:

area of parallelogram= base * height

Step-by-step explanation:

according to the question...

base * height

Area = 48 * 10

480 per metre square.

please mark as brainaist

Answer 2

the area of this field which is in the form of parallelogram is 420 m²

Step-by-step explanation:

Given:

• BD (one diagonal) = 42m
• perpendicular distance from vertices A and C to the diagonal is 10 m

To Find:

• Area of the given parallelogram

solution:

• firstly, Consider it not a parallelogram but the two triangle ABD and BDC
• now, area of parallelogram is equal to sum of the area of ABD and BDC.
• we know that area of triangle = ½×base×height
• area of triangle ABD= ½×42×10

=210m²

• area of triangle BDC= ½×42×10

=210m²

• area of parallelogram = (210 +210)m²

=420m²

Hence, THE AREA OF GIVEN PARALLELOGRAM IS 420 m²