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.

50 points plsss step by step explanation​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

b = 42 m

h = 10 m

Step-by-step explanation:

Diagonal BD divides ABCD into two equal triangles ADB & CDB

therefore,

ADB = CDB (i)

Now,

area CDB = 1/2 * b * h

= 1/2 * 42* 10

= 420/2

= 210 m²

Since, CDB = ADB < from (I) >

therefore, ADB = 210 m²

Area of IIgm = area ADB + area CDB

= area 2 CDB

= 2*210 m²

= 420 m²