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A rectangular school banner has a length of 44 inches and a perimeter of 156 inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter?

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Answer: The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width of the rectangle.

We know that the rectangular school banner has a length of 44 inches and a perimeter of 156 inches. And we can use the formula above to find the width of the rectangular school banner:

P = 2L + 2W = 156 inches

P = 2(44) + 2W = 88 + 2W = 156 inches

So the width of the rectangular school banner is W = 156 inches - 88 inches = 68 inches

Now, we know that the cheerleaders make signs similar to the banner. the length of a sign is 11 inches, we can use the same formula to find the perimeter of the sign.

P = 2L + 2W = 2(11) + 2W

So the perimeter of the sign is P = 22 + 2W inches

Since we don't know the width of the sign (W) we can't find the perimeter of the sign.

Explanation:

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