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Use the Read Draw-Write process to solve the problem. 8 cm 2. Ray has a rectangular swimming pool in his backyard that is 4 meters wide and 5 m The backyard is 9 meters wide and 10 meters long. What is the area of the backyard that is not covered by the swimming pool?

Ask by Hanson Weber. in the United States
Feb 27,2025

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The area of the backyard not covered by the swimming pool is 70 square meters.

Solución

Step 1: Read the problem.  • Ray’s backyard is rectangular, 9 meters wide and 10 meters long.  • His swimming pool is rectangular, 4 meters wide and 5 meters long.  • We need to find the area of the backyard that is not covered by the swimming pool. Step 2: Draw the situation.  • Draw a large rectangle to represent the backyard. Label its dimensions: 9 m (width) and 10 m (length).  • Inside the backyard, draw a smaller rectangle for the swimming pool. Label its dimensions: 4 m and 5 m.  • The area outside the pool but inside the backyard is what we need to calculate. Step 3: Write the calculations.  1. Calculate the area of the backyard:   Area_backyard = length × width = 10 m × 9 m = 90 square meters.  2. Calculate the area of the swimming pool:   Area_pool = length × width = 5 m × 4 m = 20 square meters.  3. Find the area of the backyard not covered by the pool by subtracting:   Area_not_covered = Area_backyard − Area_pool = 90 m² − 20 m² = 70 m². Final Answer: The area of the backyard not covered by the swimming pool is 70 square meters.

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Mind Expander

To find the area of the backyard not covered by the swimming pool, first, calculate the area of both the backyard and the pool. The area of the backyard is \(9 \, m \times 10 \, m = 90 \, m^2\). The area of the swimming pool is \(4 \, m \times 5 \, m = 20 \, m^2\). Now, subtract the area of the pool from the area of the backyard: \(90 \, m^2 - 20 \, m^2 = 70 \, m^2\). Thus, the area of the backyard that is not covered by the swimming pool is \(70 \, m^2\). To visualize this, you can draw a rectangle representing the backyard and a smaller rectangle inside it for the pool. Then, label the dimensions accordingly, and shade the area that remains around the pool. This way, you'll have a clear depiction of the space that isn't occupied by the pool!

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