Question

Give possible expression for length and breadth of rectangle whose area is 4a²+4a-3

Answer 1

Just factorize it and you will get the possible measurements of length and breadth.

Answer 2

hi mate,

solution:

Factoring 4a²+4a-3

4a² - 2a + 6a - 3

Step-1 : Add up the first 2 terms, pulling out like factors :

2a • (2a-1)

Add up the last 2 terms, pulling out common factors :

3 • (2a-1)

Step-2 : Add up the four terms of step 1 :

(2a+3) • (2a-1)

Which is the desired factorization

Final result :

(2a - 1) • (2a + 3)

length = (2a - 1) and breadth = (2a + 3)

or a = 1/2 and a = 3/2

i hope it helps you.