Question

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?

Answer 1

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

Explanation:

Area=length times width, or:

`2x*x<50->2x^2<50->x^2<25->`

`x< sqrt25->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`
In this practical example, we discard the other answer.