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Class 10
Mathematics
Quadratic Equations
the diagonal of a rectangular field is 60 metres m...

Question:
The diagonal 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 sides of the field.

Answer:

Let the shorter side of rectangular field be = x meter

The diagonal of the field = (x + 60) m

And, longer side is 30m more than shorter side = (x + 30) m

According to question;

Using Pythagoras theorem;

(x + 60)² = x² + (x + 30)²

x (x - 90) + 30 (x - 90) = 0

(x + 30) (x - 90) = 0

(x + 30) = 0 or (x - 90) = 0

Either, x = -30 or x = 90

But x ≠ -30 because length can never be negative.

Hence, shorter side of field is 90 m and longer side is (x + 30) = 120 m

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Question:
The diagonal 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 sides of the field.

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Question: The diagonal 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 sides of the field.

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Question:
The diagonal 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 sides of the field.