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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. - Mathematics

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प्रश्न

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.

उत्तर

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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अध्याय 10: Quadratic Equations - Exercises 5

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 10 Quadratic Equations
Exercises 5 | Q 59

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