the shape of a piece is pallelogram whose adjacent side are 12m and 9 m and the corresponding diagonal is 15 .find the area of land

The area of land =108 m²

Step-by-step explanation:

In the given piece of land is in the shape of a parallelogram.

Diagonals divide it into 2 equal parts.

So, area of parallelogram = 2 x (Area of triangle with sides 12m and 9 m and  15 m)

Heron's formula :

Area of triangle = , where

Let a= 12 , b= 9 and c = 15

Area of triangle =

Then, area of parallelogram= 2 x 54 = 108 m²

Hence, the area of land =108 m²

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