Q3 of 99 Page 269

There is a shape of parallelogram land beside our house of which lengths of adjacent sides are 15 meter and 13 meter. If the length of one diagonal is 14 meter, then let us calculate the area of shape of parallelogram land.

Given, a parallelogram land,


Consider a parallelogram ABCD, adjacent sides are given, AB=13m


BC=15m


And diagonal AC=14m


Semi perimeter of ∆ABC, S =


S= 21m


Hence area of ∆ABC = sq. m


Area ∆ABC = 84 sq. m


Area of parallelogram ABCD = 2×area of ∆ABC


Area of parallelogram ABCD = 2×84


= 168 sq. m


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