Question

Find the area of a rectangular plot one side of which measures 35 m the diagonals is 37 m

Answer 1

Given :-
diagonal = 37 m
one of the side ' l ' (length) = 35 m
Let width (breadth) = x m

${(width)}^{2} + {(length)}^{2} = {(diagonal)}^{2} \\ \\ ({x)}^{2} + {(35)}^{2} = ({37)}^{2} \\ \\ {x }^{2} + 1225 = 1369 \\ \\ {x }^{2} = 1369 - 1225 \\ \\ {x}^{2} = 144 \\ \\ x = \sqrt{144} \\ \\ x = 12$
breadth (width) = 'x' m = 12m


Area of rectangle = length*breadth
= 35*12
= 420m sq.

Answer 2

The area = 420 m ^2.


Hope it helps ....
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