Question

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Diagonal of a rectangular field is 17 metre
and perimetre is 46 metre then area of the
field will be
(1) 132 m2
(2) 120 m2
(3) 112 m2 (4) 289 m
ROR ROUGH WORK
Dp​

Answer 1

Diagonal = 17m

Perimeter = 46m

$diagonal = \sqrt{ {l}^{2} + {b}^{2} } = 17 \\ {l}^{2} + {b}^{2} = 289$

$perimeter = 2(l + b) = 46 \\ l + b = 23$

${(l + b)}^{2} = {l}^{2} + {b}^{2} + 2lb \\ {23}^{2} = 289 + 2lb \\ 2lb = 529 - 289 = 240 \\ lb = 120$

Area of rectangle = lb = 120m²

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