Question

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

420m²

Explanation:

Given that:

Length of diagonal = 42m

Lenght of outlying vertice = 10 m

Area of paralellogram = 2 " (area of triangle)

Area of triangle = 1/2 * base * height

Hence,

Area of parallelogram :

Area = 2(0.5 * 42 * 10)

Area = 2 (210)

Area = 420m²