# The width of a rectangle is 10 units less than the length. If the area is 24 square units, then how do you find the dimensions of the rectangle?

Apr 25, 2018

Width: 2 units
Length: 12 units

#### Explanation:

Let $w$ be the width and $10 + w$ be the length

Then

$w \left(10 + w\right) = 24$

${w}^{2} + 10 w - 24 = 0$

$\left(w + 12\right) \left(w - 2\right) = 0$

$w = 2 \mathmr{and} - 12$

Since $w > 0$, the width measures $2$ units and the length $12$.

Hopefully this helps!