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10. Find the missing width. Perimeter is 36 inches. -ength is 9 inches. What is the width?

Ask by Cruz Flynn. in the United States
Mar 13,2025

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Answer

The width is 9 inches.

Solution

To find the missing width, we can use the formula for the perimeter of a rectangle: \[ \text{Perimeter} = 2 \times (\text{length} + \text{width}) \] Given: - Perimeter = 36 inches - Length = 9 inches We can substitute these values into the formula and solve for the width. Solve the equation by following steps: - step0: Solve for \(w\): \(2\left(9+w\right)=36\) - step1: Divide both sides: \(\frac{2\left(9+w\right)}{2}=\frac{36}{2}\) - step2: Divide the numbers: \(9+w=18\) - step3: Move the constant to the right side: \(w=18-9\) - step4: Subtract the numbers: \(w=9\) The missing width is 9 inches.

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To find the missing width, we can use the formula for the perimeter of a rectangle, which is P = 2(length + width). With a perimeter of 36 inches and a length of 9 inches, we can plug in the values: 36 = 2(9 + width). Dividing both sides by 2 gives us 18 = 9 + width. Subtracting 9 from both sides reveals that the width is 9 inches! If we consider a real-world scenario, understanding how to calculate dimensions can be super useful! For example, if you're building a garden bed or laying out a room, knowing how to find the missing measurements ensures your projects turn out just right. So, whether you're a DIY enthusiast or just arranging your furniture, these calculations come in handy!

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