Question
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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 -ft. square flower garden. How much grass is in the yard?

Ask by Guerrero Ramos. in the United States
Mar 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

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

Solution

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 an 8.5-ft square. 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 the amount of grass in the yard, first calculate the area of the rectangular yard by multiplying its length and width: 20 feet x 15 feet = 300 square feet. Next, calculate the area of the flower garden, which is a square: 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! And there you have it! Simple subtraction transforms greenery into a lovely math problem. Just think of your yard as a great big canvas, with grass covering most of it and the flower garden representing your pops of color! Got a green thumb? Make sure to measure next time to avoid planting your flowers too close together.

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