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9. Ms. Guy knitted a baby blanket with a perimeter of 72 inches. The length of the baby blanket was 28 inches long. What is the width of the other side? Yea, it was a little lop-sided!

Ask by Rowe Boyd. in the United States
Mar 20,2025

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Answer

The width of the baby blanket is 8 inches.

Solution

The perimeter \( P \) of a rectangle is given by the formula: \[ P = 2(L + W) \] where \( L \) is the length and \( W \) is the width. Given: \[ P = 72 \text{ inches}, \quad L = 28 \text{ inches} \] Substitute the known values into the perimeter formula: \[ 72 = 2(28 + W) \] Divide both sides by 2: \[ 36 = 28 + W \] Subtract 28 from both sides to solve for \( W \): \[ W = 36 - 28 = 8 \] Thus, the width of the baby blanket is: \[ \boxed{8} \text{ inches.} \]

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Beyond the Answer

To find the width of the baby blanket, you can use the formula for the perimeter of a rectangle: P = 2(length + width). Since the perimeter is 72 inches and the length is 28 inches, you can set up the equation: 72 = 2(28 + width). Solving this gives you a width of 8 inches. So, a cozy yet slightly unconventional blanket indeed! In knitting, different stitch patterns can affect the dimensions of a finished piece. If Ms. Guy had tried a garter stitch instead of stockinette, her blanket might have had a different final size. It's a fun reminder that yarn and stitches behave uniquely, much like how each project can turn out distinctly, even with the same measurements!

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