Question

The rectangle below has an area of x^2+8x+15x

2

+8x+15x, squared, plus, 8, x, plus, 15 square meters and a width of x+3x+3x, plus, 3 meters.

What expression represents the length of the rectangle?

Answer 1

The length of the rectangle is x+5.

Explanation:

Given : The rectangle below has an area of
`x^2+8x+15` square meter and a width of
`x+3` meter.

To find : What expression represents the length of the rectangle?

Solution :

The area of the rectangle is given by,

`\text{Area}=\text{Length}* \text{Breadth}`

`\text{Area}=x^2+8x+15`

`\text{Breadth}=x+3`

`x^2+8x+15=\text{Length}*(x+3)`

`\text{Length}=(x^2+8x+15)/(x+3)`

`\text{Length}=((x+5)(x+3))/(x+3)`

`\text{Length}=x+5`

Therefore, the length of the rectangle is x+5.