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Explanation:
x = width of the playground
x is some number which we don't know. Its basically a placeholder of sorts.
Multiply the width x by the length 40 to get x*40 = 40x
The area of the playground as an algebraic expression is 40x
We want this expression to be 1000 or larger, so we write this inequality [tex]40x \ge 1000[/tex] (40x is greater than or equal to 1000)
Divide both sides by 40 and we end up with....
[tex]40x \ge 1000[/tex]
[tex]\frac{40x}{40} \ge \frac{1000}{40}[/tex]
[tex]x \ge 25[/tex]
So x can be equal to 25, or it can be larger than 25.
In short, x must be at least 25 feet
