The diagonals of a rectangular field is 60 metres more than the shorte

1.	The diagonals of a rectangular field is 60 metres more than the shorter side.If the longer side is 30 metres more than the shorter side, find the sidesof the field.
Answer» ANSWER: the sides are 270 and 90 Step-by-step explanation: using PYTHAGORAS THEOREM ${(60 + x)}^{2} = {(30 + x)}^{2} + {x}^{2}$ $3600 + {x}^{2} + 120x = 900 + {x}^{2} + 60x + {x}^{2}$ $3600 - 900 + 120x - 60x = 2 {x}^{2} - {x}^{2}$ ${x}^{2} - 60x - 2700 = 0$ ${x}^{2} - 90x + 30x - 2700$ $x(x - 90) + 30(x - 90)$ $(x + 30)(x - 90)$ $x = 90$ $30 + x = 270$