Question

Environment If 2500 square feet of grass supplies enough oxygen for a family of four, how much grass is needed to supply oxygen for a family of five?

Short answer

3125 square feet of grass are needed for a family of five.

Step-by-step solution

Understand the Given Information

We have that 2500 square feet of grass provides enough oxygen for a family of four. We need to determine how much grass is required for a family of five.

Determine Oxygen Requirement Per Family Member

Since 2500 square feet is enough for four people, divide 2500 by 4 to find the amount required per person. This calculation is: \(\frac{2500}{4} = 625\). Thus, each person requires 625 square feet.

Calculate Grass Needed For Five People

Multiply the square feet required per person by five to find out the total area needed for five family members. The calculation is: \(625 \times 5 = 3125\) square feet.

Key concepts

Area Calculation

Calculating area is essential in geometry problems, and understanding it can help solve many real-world scenarios like the one with grass providing oxygen. In this context, we relate the area to supply needs. To determine the space needed, you first find the area required for each individual. Given in our exercise, 2500 square feet of grass suffices for four people. We divide the total area by the number of people to find the requirement per person using: \[\text{Area per person} = \frac{2500}{4} = 625\text{ square feet}\] This tells us how much grass each family member requires. Calculating area can involve straightforward division or complex formulas depending on the shape or problem. Here, it involves clear division because space sharing between family members is evenly divided.

Problem-Solving

Problem-solving in math involves understanding the question, analyzing the data, and deriving solutions through logical steps. With our grass-related exercise, the initial step is recognizing the need for a proportional increase in space supplying oxygen when the family size grows. Recognize these steps:

• Identify what you know (2500 square feet for four people)
• Understand what you need to find out (area for five people)
• Break down the problem (find area per person, then for the larger family)

By structuring the solution in steps, you adapt the problem using division and multiplication, making it manageable and clear. Such examples illustrate how identifying patterns and using math principles can efficiently address real-life problems.

Step-by-step Solutions

Step-by-step solutions require breaking down a question into manageable actions you can follow logically, especially in geometry problems. This method helps reduce the complexity of determining how much grass, in this case, is necessary for an increased family size.

Breaking Down the Steps:

Start with understanding the initial data: 2500 square feet is needed for four people. Then, find out how much grass one person requires by dividing the area by four. Each person thus needs 625 square feet.
Next, multiply the result by five to accommodate the family's changing size: \[625 \times 5 = 3125\text{ square feet}\] This methodical approach not only provides a solution but also teaches critical thinking skills by illustrating how larger problems can be tackled methodically. Following clear steps helps ensure you won't overlook details, reinforcing accurate outcomes.