Question

B
1. 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:

420m²

Step-by-step explanation:

Here ABCD is a parallelogram has one of its diagonal AC = 42 m.

BE ,DF are perpendicular distance from diagonal to the outlying vertices.

BE = DF = 10

Area of parallelogram ABCD = Area of a ΔABC + Area of a ΔACD.

= ( 1/ 2) x AC X BE + (1 / 2) x AC X DF m2

= (1 / 2) x AC [ BE + DF] m²

= (1 / 2) x 42 x [10 + 10] m²

= 420 m²

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