Practice30 Create account

The area of a rectangle is $(x^{2} + 5 x + 6)$ sq cm and its length is $(x + 3)$ cm.
Find an expression for its breadth.

Class 8Dividing Algebraic ExpressionsAlgebra

A $(x + 2) c m$
B $(x + 3) c m$
C $(x + 6) c m$
D $(x + 1) c m$

Step-by-Step Solution

Breadth = Area/length =

\frac{x ^{2} + 5 x + 6}{x + 3}

. Since

x^{2} + 5 x + 6 = (x + 2) (x + 3)

, breadth =

x + 2

.

Answer: A)

(x + 2) c m

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Dividing Algebraic Expressions practice questions

More Class 8 Dividing Algebraic Expressions practice

Two students divide 12x^4 by 4x^2. Rohit says the answer is 3x^2; Sita says it is 3x^6.…The volume of a box is (6x^3 + 9x^2) cubic cm. Its height is 3x cm and breadth is x cm.…A rectangular field's area is (6x^2 + 11x + 4) sq m and its length is (3x + 4) m. Find…A long ribbon of length (x^3 - 4x) m is cut into equal pieces, each (x + 2) m long. How…Anita simplifies x^2 + 5x + 6/x + 2. Which factor pair of 6 adds up to 5, and what is…