Julia has a farm on a rectangle-shaped piece of land, 150 meters long. This area is divided into two parts: A square area (whose side is the same as the width of the farm), where she lives, and the remaining area where she grows artichokes.
Every week, Julia spends $8 per square meter on the area where she lives, and earns $4 per square meter for the area where she grows artichokes. That way, she manages to save some money every week.
Write an inequality that models the situation. Use w to represent the width of Julia's farm.
Solve the inequality, and complete the sentence.

Question

Julia has a farm on a rectangle-shaped piece of land, 150 meters long. This area is divided into two parts: A square area (whose side is the same as the width of the farm), where she lives, and the remaining area where she grows artichokes.
Every week, Julia spends $8 per square meter on the area where she lives, and earns $4 per square meter for the area where she grows artichokes. That way, she manages to save some money every week.
Write an inequality that models the situation. Use w to represent the width of Julia's farm.
Solve the inequality, and complete the sentence.