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Sarah made these statements about shapes:

"If I have two different rectangles and they both have a perimeter of 20 feet, they must have the same area too."

Is Sarah correct? Why or why not?
(1 point)
Responses

Yes, because shapes with the same perimeter always take up the same space
Yes, because shapes with the same perimeter always take up the same space

No, because shapes can have the same perimeter but take up a different amount of space.
No, because shapes can have the same perimeter but take up a different amount of space.

Yes, because perimeter and area are the same.
Yes, because perimeter and area are the same.

No, because rectangles can't have the same perimeter.
No, because rectangles can't have the same perimeter.
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1 answer

The correct response is:

No, because shapes can have the same perimeter but take up a different amount of space.

Explanation: Two different rectangles can have the same perimeter but different lengths and widths, which can result in different areas. For example, a rectangle with dimensions 1 foot by 9 feet (area = 9 square feet) and another rectangle with dimensions 4 feet by 6 feet (area = 24 square feet) can both have a perimeter of 20 feet, yet they have different areas. Thus, Sarah's statement is not correct.