The diagonal of a rectangular field is 60m more than the shorter side. Find the sides of

the field.​

1 thought on “The diagonal of a rectangular field is 60m more than the shorter side. Find the sides of <br /><br />the field.​”

1. Answer:

   We have,

   Long side of rectangular field is 60 meters more then the shorter side.

   Let the longer side will be (y+30)mtr.

   And the length of the diagonal will be (y+60) mtr.

   Now, According to given question.

   Using Pythagoras theorem,

   (Diagonal)

   2

   =(shorterside)

   2

   +(longerside)

   2

   (y+60)

   2

   =y

   2

   +(y+30)

   2

   ⇒y

   2

   +3600+120y=y

   2

   +y

   2

   +900+60y

   ⇒3600+120y−y

   2

   −900−60y=0

   ⇒−y

   2

   +60y+2700=0

   ⇒y

   2

   −60y−2700=0

   ⇒y

   2

   −(90−30)y−2700=0

   ⇒y

   2

   −90y+30y−2700=0

   ⇒y(y−90)+30(y−90)=0

   ⇒(y−90)(y+30)=0

   If,

   y+30=0

   y=−30(notpossible)

   If,

   y−90=0

   y=90

   So, the length of shorter side =y−30=90−39=60

   Longer side 90+30=120

   Hence, this is the answer.

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