https://file.aiquickdraw.com/mathbot/file/1726799175790tci4rcnj.jpg

To solve this problem, we need to calculate the area of the rectangular lot and determine how many bags of grass seed Mike needs, given that each bag covers 1,000 square feet.

### Step 1: Find the area of the rectangular lot
The dimensions of the lot are 220 feet by 158 feet. The area \( A \) of a rectangle is given by:

\[
A = \text{length} \times \text{width}
\]

Substituting the values:

\[
A = 220 \, \text{ft} \times 158 \, \text{ft} = 34,760 \, \text{ft}^2
\]

### Step 2: Determine how many bags of grass seed are required
Each 40-lb bag covers 1,000 square feet. Therefore, the number of bags \( N \) Mike needs can be calculated by dividing the total area by the coverage of one bag:

\[
N = \frac{\text{Total Area}}{\text{Area covered by one bag}} = \frac{34,760}{1,000} = 34.76
\]

Since Mike can't buy a fraction of a bag, he'll need to round up to the nearest whole number:

\[
N = 35 \, \text{bags}
\]

### Conclusion:
Mike will need to buy **35 bags** of turf grass blend to cover his entire lot.

---

Do you have any questions or would you like more details?

Here are 5 related questions to further your understanding:
1. How would the number of bags change if the lot were larger?
2. What if each bag could only cover 500 square feet instead of 1,000?
3. How could Mike calculate the cost of the grass seed if he knows the price per bag?
4. What if Mike only wants to cover half of the lot with grass?
5. How would the calculation change if the lot were a different shape, like a triangle?

**Tip:** When calculating materials for an area, always round up to ensure full coverage, especially with units like bags, tiles, or paint.

Mike is buying a rectangular building lot measuring 220 ft by 158 ft in a new golfing community. He plans to sow new grass on this lot, and each 40-lb. bag of turf grass blend will cover 1000 ft² of lawn. How many bags does he need to buy?

Learn how to calculate the number of 40-lb bags of turf grass blend Mike needs to buy for a rectangular lot measuring 220 ft by 158 ft. Each bag covers 1000 ft², and the problem involves simple area calculations and rounding. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation