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प्रश्न
The length of a hall is 3 meter more than its breadth. If the area of the hall is 238 sq meters, calculate its length and breadth.
उत्तर
Let the breath of the rectangular hall be x meter.
Therefore, the length of the rectangular hall will be (x+3)meter.
According to the question:
`x(x+3)=238`
⇒ `x^2+3x=238`
⇒`x^2+3x-238=0`
⇒`x^2+(17-14)x-238=0`
⇒`x^2+17x-14x-238=0`
⇒`x(x+17)-14(x+17)=0`
⇒`(x+17) (x-14)=0`
⇒`x=-17 or x=14`
But the value x cannot be negative.
Therefore, the breath of the hall is 14 meter and the length is 17 meter.
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