The area of a rectangle is x²+7x+12 if its breadth is (x+3) then find its length
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Answer:
area of rectangle is zero so there is no length and no breadth
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- Area of Rectangle = ( x² + 7x + 12 )
- Breadth = ( x + 3 )
- Length = ?
⇒ Area of Rectangle = Length × Breadth
⇒ ( x² + 7x + 12 ) = Length × ( x + 3 )
- We will Split Middle Term Now
⇒ ( x² + 4x + 3x + 12 ) = Length × ( x + 3)
⇒ x( x + 4 ) + 3( x + 4 ) = Length × ( x + 3 )
⇒ ( x + 4 )( x + 3 ) = Length × ( x + 3 )
- Compare Both Sides
⇒ Length = ( x + 4 )
჻ Length of the Rectangle is ( x + 4 )
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