Pregunta
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6. Mr. Spork has a garden with the perimeter of 28 yards. The length of the garden is 12 yards. What the width of the garden?

Ask by Little Chavez. in the United States
Mar 20,2025

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The width of the garden is 2 yards.

Solución

1. The formula for the perimeter \( P \) of a rectangle is given by: \[ P = 2(l + w) \] where \( l \) is the length and \( w \) is the width. 2. Given that \( P = 28 \) yards and \( l = 12 \) yards, substitute these values into the perimeter formula: \[ 28 = 2(12 + w) \] 3. Divide both sides of the equation by 2 to simplify: \[ 12 + w = 14 \] 4. Solve for \( w \) by subtracting 12 from both sides: \[ w = 14 - 12 = 2 \] Thus, the width of the garden is \( 2 \) yards.

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The Deep Dive

To find the width of Mr. Spork's garden, we can use the formula for the perimeter of a rectangle, which is given by: Perimeter = 2(length + width). We know the perimeter is 28 yards and the length is 12 yards. Plugging in the values, we get: 28 = 2(12 + width) Now, divide both sides by 2: 14 = 12 + width Now, subtract 12 from both sides: width = 14 - 12 Thus, the width of the garden is 2 yards. Happy gardening, Mr. Spork! When calculating dimensions in geometry, it’s easy to get lost in the numbers. A common mistake is forgetting to halve the perimeter before adding the length and width. Always remember, the perimeter is essentially a loop around your shape, so half of it gives you a clearer view of the relationship between all sides!

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