# Give possible expressions for the length and breadth of the rectangle whose area is given by 4a² + 4a -3.

**Solution:**

Given, the area of the rectangle is given by 4a² + 4a - 3

We have to find the possible expressions for the length and breadth of the rectangle.

On factorising 4a² + 4a -3 by splitting the middle term,

4a² + 4a - 3 = 4a² + 6a - 2a - 3

= 2a(2a + 3) - 1(2a + 3)

= (2a - 1)(2a + 3)

Therefore, 4a² + 4a -3 = (2a - 1)(2a + 3)

**✦ Try This:** Give possible expressions for the length and breadth of the rectangle whose area is given by 9a² + 6a - 3

Given, the area of the rectangle is given by 9a² + 6a - 3

We have to find the possible expressions for the length and breadth of the rectangle.

On factorising 9a² + 6a - 3 by splitting the middle term,

9a² + 6a - 3 = 9a² + 9a - 3a - 3

= 9a(a + 1) - 1(a + 1)

= (9a - 1)(a + 1)

Therefore, 9a² + 6a -3 = (9a - 1)(a + 1)

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 2

**NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 40**

## Give possible expressions for the length and breadth of the rectangle whose area is given by 4a² + 4a -3

**Summary:**

The possible expressions for the length and breadth of the rectangle whose area is given by 4a² + 4a -3 are (2a - 1) and (2a - 3)

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