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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

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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.

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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!

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