Question

Give possible value for length and breadth of the rectangle whose area is 2x²+9x-5​

Answer 1

Given,

The area of the rectangle is given as 2x²+9x-5​.

To find,

We have to find the possible values for length and breadth.

Solution,

The possible values for length and breadth of the rectangle of area 2x²+9x-5​ are -5 and 1/2.

We can simply find the possible values of length and breadth of the rectangle by using the splitting the middle term method.

Area of the rectangle = length * breadth

We have to find the factors of 2x²+9x-5​,

Using the splitting the middle term, we get

2x²+10x-x-5

2x(x+5)-1(x+5)

(x+5)(2x-1)

x= -5, 1/2

Hence, the possible values for the length and breadth of the rectangle whose area is 2x²+9x-5​ are -5and 1/2.

Answer 2

Answer:

2x²+9x-5

2x²+10x-x-5

2x(x+5)-1(x+5)

(x+5) (2x-1)

length x+5

breadth 2x-1