Question

A field in the form of a parrellelogarm, has one of the diagonal 42m long and the perpendicular distance of the diagonal from either of the outlying vertices is 10m and 8dm.Find the area of the field

Answer 1

A diagonal divides a ||gm into two ∆'s .
given diagonal is 42 m
and it is given that perpendicular distance of this diagonal from the two opposite sides is 10 m and 8 m .
so area of ∆ with 10 m altitude is 1/2×10×42 =210 m²
area of ∆ with 8 m altitude is 1/2×8×42=168 m²
.'. Area of ||gm = 210+168 m²
378 m²

Answer 2

42+10m=52m is area of the field