The area of a rectangle of length x is given by 3x^2 + 5x. How do you find the width of the rectangle?

Apr 2, 2016

$\text{Width} = 3 x + 5$

Explanation:

Since for a rectangle,

$\text{Area" = "Length" xx "Width}$

Dividing by $\text{Length}$ throughout,

"Width" = frac{"Area"}{"Length"}

$= \frac{3 {x}^{2} + 5 x}{x}$

$= 3 x + 5$

That's it! But do note that in some places, the definition of the length of a rectangle forbids it to be shorter than the breadth of the same rectangle.