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Dax has a banner that is 7 feet long and 5 feet wide.
He wants a new banner that has the same
perimeter but is 6 feet long. How wide is the new banner?
(1 point)
• 35 feet wide
© 36 feet wide
• 6 feet wide
• 24 feet wide

1 answer

To find the perimeter of the original banner, we use the formula for the perimeter of a rectangle:

Perimeter = 2(length) + 2(width)

Plugging in the values for the original banner, we get:

Perimeter = 2(7) + 2(5) = 14 + 10 = 24 feet

Now, we want the new banner to have the same perimeter but with a length of 6 feet. Let's call the width of the new banner W. Therefore, the new perimeter would be:

Perimeter = 2(6) + 2(W) = 12 + 2W

Since the new perimeter is the same as the original perimeter (24 feet), we can set up the equation:

12 + 2W = 24
2W = 12
W = 6

Therefore, the width of the new banner is 6 feet.