Alonzo is planting a rectangular garden in his backyard. He wants the length of the garden to be 5 yards. The area of the garden must be at most 50 square yards. (Alonzo doesn't want to buy any more soil.) Write an inequality that describes the possible widths (in yards) of the garden. Use \( w \) for the width of the rectangular garden.

To find the inequality that describes the possible widths of the garden, we start with the formula for the area of a rectangle, which is **Area = Length × Width**. Given that the length is 5 yards and the area must be at most 50 square yards, we can set up the inequality as: \[ 5w \leq 50 \] Now, to isolate \( w \), divide both sides by 5: \[ w \leq 10 \] So, the width \( w \) must be less than or equal to 10 yards to satisfy Alonzo's requirement for the garden area. --- Imagine if Alonzo had decided to make a circular garden instead! With the circumference of a circle being linked to its radius, he would have faced different area calculations. This could both spark creativity and lead to fun garden designs, but he'd need to consider his soil limitations carefully! To delve deeper into gardening design, Alonzo might enjoy reading about companion planting, which can help maximize the use of space and soil nutrients! Various plants grow better together, and creating a harmonious garden can yield both beauty and bounty. There are countless books and online resources out there to expand his green thumb!