Question
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?
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?
Answers
GPT 3.5
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.
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.