Question

if the perimeter of a rectangular plot is 68m and length of its diagonal is 26 m ,find its area

Answer 1

$perimeter = 2(x + y) \\ where \: x \: is \: length \: and \: y \: is \: breadth \\ 2(x + y) = 68 \\ x + y = 34$
$length \: of \: diagonal = \sqrt{ {x}^{2} + {y}^{2} } \\ {x}^{2} + {y}^{2} = 676 \\ {(x + y)}^{2} - 2xy = 576 \\ {34}^{2} - 2xy = 576 \\ 480 = 2xy \\ xy = 240$