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2 The perimeter of a vegetable garden is 48 feet. The widt of the garden is 10 feet. What is the length of the garde

Ask by Nichols Horton. in the United States
Feb 26,2025

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The length of the vegetable garden is 14 feet.

Solución

To solve this problem, we start with the perimeter formula for a rectangle: Perimeter = 2 × (length + width) We are given: • Perimeter = 48 feet • Width = 10 feet Substitute the given values into the formula: 48 = 2 × (length + 10) Next, divide both sides by 2 to simplify: 48 ÷ 2 = length + 10 24 = length + 10 Now, subtract 10 from both sides: length = 24 - 10 length = 14 feet Therefore, the length of the vegetable garden is 14 feet.

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Mind Expander

To find the length of the vegetable garden, we can use the formula for the perimeter of a rectangle, which is \( P = 2 \times (\text{length} + \text{width}) \). Given that the perimeter is 48 feet and the width is 10 feet, we can rearrange the formula to solve for the length: \[ 48 = 2 \times (\text{length} + 10) \] Dividing both sides by 2 gives us 24: \[ 24 = \text{length} + 10 \] Subtracting 10 from both sides results in: \[ \text{length} = 14 \] So, the length of the garden is 14 feet. --- This isn’t just a math problem; it’s a lesson in planning! Gardeners need to use dimensions efficiently to maximize their planting space while maintaining a pleasing aesthetic. Knowing the perimeter helps you visualize the entire area and how best to utilize it for your favorite veggies. If you ever find yourself stuck in similar problems, always remember to write down what you know and use clear equations. A common mistake is misapplying the perimeter formula or forgetting to divide correctly, so double-check each step to keep your garden growing smoothly!

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