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Question
The length of a rectangular field is three times its breadth. If the area of the field be 147 sq meters, find the length of the field.
Solution
Let the length and breadth of the rectangle be 3x m and x m, respectively. According to the question:
`3x xx x =147`
⇒`3x^2=147`
⇒`x^2=49`
⇒ `x=7 or x=-7`
⇒`x=7` ( ∵ x cannot be negative)
∴ Length = `3xx7=21m`
Breath=`7m`
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