Question
Find the area of a parallelogram with a base of 30 m and a height 25 m . \( A=B h \) Bill earns \( \$ 9.00 \) would like to \( \$ 180 \) each we inequality can be
Ask by Martinez Gray. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The area of the parallelogram is 750 square meters. Bill needs to work at least 20 hours to earn \$180 or more.
Solution
Let's solve the problem step by step.
### Part 1: Area of the Parallelogram
1. **Identify the known values:**
- Base \( B = 30 \) m
- Height \( h = 25 \) m
2. **Use the formula for the area of a parallelogram:**
\[
A = B \cdot h
\]
3. **Substitute the known values into the formula:**
\[
A = 30 \cdot 25
\]
4. **Calculate the area:**
\[
A = 750 \text{ m}^2
\]
### Part 2: Inequality for Bill's Earnings
1. **Identify the known values:**
- Bill earns \( \$ 9.00 \) per hour.
- He wants to earn at least \( \$ 180 \).
2. **Set up the inequality:**
Let \( x \) be the number of hours Bill works. The inequality can be expressed as:
\[
9x \geq 180
\]
3. **Solve the inequality for \( x \):**
\[
x \geq \frac{180}{9}
\]
\[
x \geq 20
\]
### Final Answers
- The area of the parallelogram is \( 750 \text{ m}^2 \).
- The inequality for Bill's earnings is \( x \geq 20 \).
This means Bill needs to work at least 20 hours to earn \( \$ 180 \) or more.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To find the area of the parallelogram, we simply use the formula \( A = B \times h \). Plugging in the base (B) of 30 meters and the height (h) of 25 meters, we get \( A = 30 \, m \times 25 \, m = 750 \, m^2 \). So, the area is 750 square meters! Now, Bill wants to earn \$180. If we let \( x \) represent the number of hours he works at \$9.00 per hour, then the inequality can be represented as \( 9x \geq 180 \). Solving this gives \( x \geq 20 \), meaning Bill needs to work at least 20 hours to reach his goal!