Question

R
6 The diagonal of a
S.
rectangular field is 60 m
more than the shorter
side. If the longer side
is 30 m more than the
shorter side, then find the sides of the field.
Р​

Answer 1

$let \: shorter \: side \: be \: x \\ longer \: side = x + 30 \\ diagonal = x + 60$

${(x + 60)}^{2} = ( {x})^{2} + {(x + 30)}^{2} \\ {x}^{2} + 3600 + 120x= {x}^{2} + {x}^{2} + 900 + 60x \\ {x}^{2} - {x}^{2} - {x}^{2} + 120x - 60x = 900 - 36 00 \\ - {x}^{2} - 60x = 2700$