# The length of a rectangle is twice its width. If the area of the rectangle is less than 50 square meters, what is the greatest width of the rectangle?

Nov 5, 2015

We'll call this width $= x$, which makes the length $= 2 x$

#### Explanation:

Area=length times width, or:

$2 x \cdot x < 50 \to 2 {x}^{2} < 50 \to {x}^{2} < 25 \to$

$x < \sqrt{25} \to x < 5$

Answer : the greatest width is (just under) 5 meters.

Note : In pure maths, ${x}^{2} < 25$ would also give you the answer:
$x > - 5$, or combined $- 5 < x < + 5$