First, we need to find the perimeter of the original banner by using the formula for the perimeter of a rectangle: P = 2(l + w), where l is the length and w is the width.
P = 2(7 + 5)
P = 2(12)
P = 24 feet
Since the new banner has the same perimeter (24 feet) but a length of 6 feet, we can find the width of the new banner by rearranging the formula for the perimeter:
24 = 2(6 + w)
24 = 12 + 2w
12 = 2w
w = 6 feet
Now that we have the width of the new banner, we can find the area of the new banner by using the formula for the area of a rectangle: A = l * w.
A = 6 * 6
A = 36 square feet
Therefore, the area of the new banner is 36 square feet.
Dax has a banner that is 7 feet long and 5 feet wide.
He wants to make a new banner that has the same perimeter but is 6 feet long. What is the area of the new banner?
1 answer