The table shows the lengths of picket fence pieces Jude has to make a flower garden.
He wants the garden to have 4 sides and a perimeter of 30 feet.
He cannot cut the pieces into smaller lengths.
Fence Length Number of Pieces
6 feet 4
9 feet 2
12 feet 1
Choose all of the possible sizes of gardens that Jude could make.
A. a square with a side length of 6 feet
B. a rectangle with a length of 9 feet and a width of 6 feet
C. a trapezoid with side lengths of 6 feet, 6 feet, 6 feet, and 12 feet
D. a quadrilateral with side lengths of 6 feet, 9 feet, 9 feet, and 9 feet
E. a triangle with side lengths of 9 feet, 9 feet, and 12 feet
B. a rectangle with a length of 9 feet and a width of 6 feet is the only possible size of garden that can be made with these pieces of fence.
A. a square with a side length of 6 feet would have a perimeter of 24 feet, which is not equal to 30 feet.
C. a trapezoid with side lengths of 6 feet, 6 feet, 6 feet, and 12 feet would have a maximum perimeter of 30 feet if the shorter sides were used, but it is not guaranteed that the pieces of fence can be arranged in this shape without cutting them.
D. a quadrilateral with side lengths of 6 feet, 9 feet, 9 feet, and 9 feet would have a perimeter of 33 feet, which is not equal to 30 feet.
E. a triangle with side lengths of 9 feet, 9 feet, and 12 feet would have a perimeter of 30 feet, but it cannot be made with the given pieces of fence.