Pregunta
Problem Solving (Reol world The formula \( P=2 \ell+2 w \) gives the perimeter \( P \) of a rectangular room with length \( \ell \) and width \( w \). A rectangular living room is 26 feet long and 21 feet wide. What is the perimeter of the room?
Ask by Hampton Carter. in the United States
Mar 12,2025
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The perimeter of the room is 94 feet.
Solución
We are given that the perimeter \( P \) of a rectangle is given by
\[
P = 2\ell + 2w
\]
where \( \ell \) is the length and \( w \) is the width. For this problem, the length \( \ell \) is 26 feet and the width \( w \) is 21 feet.
1. Substitute the given values into the formula:
\[
P = 2(26) + 2(21)
\]
2. Perform the multiplications:
\[
P = 52 + 42
\]
3. Add the two results to find the perimeter:
\[
P = 94
\]
Thus, the perimeter of the room is \( 94 \) feet.
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Simplifique esta solución The Deep Dive
To find the perimeter of the living room using the formula \( P = 2\ell + 2w \), simply substitute the given values: \( \ell = 26 \) feet and \( w = 21 \) feet. Plugging these into the formula gives: \[ P = 2(26) + 2(21) = 52 + 42 = 94 \] So, the perimeter of the living room is 94 feet! When working with formulas like this one, it’s easy to make a common mistake: forgetting to multiply both length and width by 2. Always double-check your multiplication to ensure you’re not missing those crucial steps—otherwise, you might end up with a perimeter that’s way off!
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