Question

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

Answer 1

Given:

Area of rectangle : 4a²+4a-3 we can convert it into product of two. and area of rectangle is also product of two numbers i.e lengthand breadth.

Area of recatngle: length x breadth

Solution:

The factors of the polynomial 4a²+4a-3 will be the answer.

Factorising 4a²+4a-3=0.........

First -3 x 4 = -12

Factors of -12 whose sum is 4 i.e 6,-2

∴ 4a² + 6a - 2a - 3 = 0

2a ( 2a + 3 ) -1 ( 2a + 3 ) = 0

(2a - 1 ) ( 2a + 3 ) = 0

So this is the possible expression for length and breadth of the rectangle.

Answer 2

Answer:

(2a-1)(2a+3) = 0

Hope it helps you