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A rectangular field's area is $(6 x^{2} + 11 x + 4)$ sq m and its length is $(3 x + 4)$ m.
Find an expression for its breadth.

Class 8Dividing Algebraic ExpressionsAlgebra

A $(2 x + 1) m$
B $(2 x + 4) m$
C $(3 x + 1) m$
D $(2 x - 1) m$

Step-by-Step Solution

6 x^{2} + 11 x + 4 = (3 x + 4) (2 x + 1)

. Breadth = Area/length =

\frac{( 3 x + 4 ) ( 2 x + 1 )}{3 x + 4} = 2 x + 1

.

Answer: A)

(2 x + 1) m

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