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20. A rectangular yard is 20 feet by 15 feet. The yard is covered with grass except for an 8.5 - t . square flower garden. How much grass is in the yard?

Ask by Norton Wright. in the United States
Mar 20,2025

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The area of grass in the yard is 227.75 square feet.

Solución

To find out how much grass is in the yard, we need to calculate the total area of the yard and then subtract the area of the flower garden. Given: - The yard is 20 feet by 15 feet. - The flower garden is 8.5 feet by 8.5 feet. 1. Calculate the total area of the yard: \[ \text{Total Area} = \text{Length} \times \text{Width} \] 2. Calculate the area of the flower garden: \[ \text{Area of Flower Garden} = \text{Side Length} \times \text{Side Length} \] 3. Subtract the area of the flower garden from the total area of the yard to find the area of the grass: \[ \text{Area of Grass} = \text{Total Area} - \text{Area of Flower Garden} \] Let's calculate the area of the grass. Calculate the value by following steps: - step0: Calculate: \(20\times 15-8.5\times 8.5\) - step1: Multiply the numbers: \(300-8.5\times 8.5\) - step2: Multiply the numbers: \(300-72.25\) - step3: Subtract the numbers: \(227.75\) The area of the grass in the yard is 227.75 square feet.

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Mind Expander

To find out how much grass is in the yard, first calculate the area of the rectangular yard by multiplying its length and width: 20 feet * 15 feet = 300 square feet. Then, find the area of the flower garden, which is 8.5 feet x 8.5 feet = 72.25 square feet. Finally, subtract the area of the flower garden from the area of the yard: 300 square feet - 72.25 square feet = 227.75 square feet. So, there are 227.75 square feet of grass in the yard! Did you know that calculating areas like this has been crucial throughout history? Ancient civilizations, such as the Egyptians, used similar mathematical principles to plan agricultural lands along the Nile. From constructing pyramids to organizing farms, measuring areas was key to their success and prosperity!

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