If the area of an ice rink is 404 square yards, what is the perimeter of the rink?
(Note: Additional information about the shape of the rink is needed to solve for the perimeter. Assuming it is a rectangle, more details about the dimensions are required.)
Answer (2)
The area doesn't tell you what the perimeter is. There are an infinite number of shapes that it could have, and for most of the shapes, there are an infinite number of perimeters that it could have ... all with the same area.
For example . . .
-- If the rink is a circle, then its circumference is about 71.25 yards.
-- If the rink is a rectangle, then it could be
1 x 404 yards, perimeter = 810 yards 2 x 202 yards, perimeter = 408 yards 4 x 101 yards, perimeter = 210 yards .
. 20 x 20.2 yards, perimeter = 80.4 yards
ALL of these have 404 square yards of area, and there are an infinite number of others that also do.
To find the perimeter of an ice rink with an area of 404 square yards, we need the dimensions of the rink. Various pairs of length and width can yield multiple perimeters, illustrating that knowing the shape is crucial for determining a specific value.
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