Question

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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
feet
2
12 feet
1
Choose all of the possible sizes of gardens that Jude could make.
А.
B.
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a square with a side length of 6 feet
a rectangle with a length of 9 feet and a width
of 6 feet
D.
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a trapezoid with side lengths of 6 feet, 6 feet,
6 feet, and 12 feet
a quadrilateral with side lengths of 6 feet, 9
feet, 9 feet, and 9 feet
E.
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a triangle with side lengths of 9 feet, 9 feet,
and 12 feet

Answer 1

Answer: All except for D.

Step-by-step explanation: I would make one, but someone has already made a decent explanation.

Answer 2

all except for D. he can build A, B, C and E out of the available pieces of fence.

but A violates the overall goal of a circumference of 30ft.

and E violates the overall goal of the garden having 4 sides.

D cannot be built, because it would require 3 pieces of 9 ft (and we have only 2).