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Mathematics 16 Online
Aries:

What geometric shape may describe a quadrilateral that has two sides with a length of 8 cm and two sides with a length of 5 cm?

brittney1jamison:

As soon as I saw this thought about how there are two sides with a length of 8 cm and two sides with a length of 5 cm so I thought of parallel lines, but instead of parallel lines think of a shape that have parallel sides, and if you think of more than one shape narrow it down to the shape that makes more since.

Aries:

????

brittney1jamison:

I mean take a few minutes to think about some shapes that have parallel sides.

Aries:

can you help with another one?

Aries:

A park has a pond shaped like a quadrilateral with all sides 18 feet long and at least one right angle. What geometric shape best describes the shape of the pond?

KyledaGreat:

A quadrilateral that has two sides with a length of 8 cm and two sides with a length of 5 cm could be a trapezoid. A trapezoid is a quadrilateral with one pair of parallel sides and one pair of non-parallel sides. The parallel sides are called the bases, and the non-parallel sides are called the legs. In this case, the trapezoid would have one base of length 8 cm and another base of length 5 cm, and the legs would each have a length of 5 cm.

KyledaGreat:

@aries wrote:
A park has a pond shaped like a quadrilateral with all sides 18 feet long and at least one right angle. What geometric shape best describes the shape of the pond?
If a quadrilateral has all sides of equal length (18 feet) and at least one right angle, it must be a square or a rectangle. A square is a quadrilateral with four equal sides and four right angles. If the pond were a square, all of its angles would be right angles and all of its sides would be 18 feet long, so it would meet the given conditions. A rectangle is a quadrilateral with two pairs of equal sides and four right angles. If the pond were a rectangle, it would have two pairs of opposite sides that are equal in length (each 18 feet long) and four right angles. Therefore, it's possible that the pond could be either a square or a rectangle. However, without additional information about the angles of the quadrilateral, it's impossible to determine for certain which shape it is.

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