The city wants to build a rectangular playground with an area of 1000 square feet or more. the length is 40 feet long. what are the requirements for the width of the playground ?

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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 (40x is greater than or equal to 1000)

Divide both sides by 40 and we end up with....

So x can be equal to 25, or it can be larger than 25.

In short, x must be at least 25 feet

the least common denominator is 40