Advanced Geometry : Kites

Study concepts, example questions & explanations for Advanced Geometry

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Example Questions

Example Question #21 : Kites

If the area of the kite is  square units, and the difference between the lengths of the diagonals is  units, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let  be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by .

Recall how to find the area of a kite:

Plug in the given area and solve for .

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, .

The length of the shorter diagonal is  units long.

Example Question #21 : How To Find The Length Of The Diagonal Of A Kite

If the area a kite is  square units, and the length of one diagonal is  units longer than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let  be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by .

Recall how to find the area of a kite:

Plug in the given area and solve for .

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, .

The length of the shorter diagonal is  units long.

Example Question #21 : Kites

If the area of a kite is  square units, and the length of one diagonal is  units longer than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let  be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by .

Recall how to find the area of a kite:

Plug in the given area and solve for .

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, .

The length of the shorter diagonal is  units long.

Example Question #21 : How To Find The Length Of The Diagonal Of A Kite

If the area of a kite is  square units, and one diagonal is  units longer than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let  be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by .

Recall how to find the area of a kite:

Plug in the given area and solve for .

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, .

The length of the shorter diagonal is  units long.

Example Question #21 : How To Find The Length Of The Diagonal Of A Kite

If the area of a kite is  square units, and the length of one diagonal is  less than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let  be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by .

Recall how to find the area of a kite:

Plug in the given area and solve for .

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, .

The length of the shorter diagonal is  units long.

Example Question #21 : Quadrilaterals

If the area of a kite is  square units, and the length of one diagonal is  units longer than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let  be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by .

Recall how to find the area of a kite:

Plug in the given area and solve for .

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, .

The length of the shorter diagonal is  units long.

Example Question #27 : How To Find The Length Of The Diagonal Of A Kite

If the area of a kite is  square units, and one diagonal is  units longer than the other, what is the length of the longer diagonal?

Possible Answers:

Correct answer:

Explanation:

Let  be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by .

Recall how to find the area of a kite:

Plug in the given area and solve for .

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, .

To find the longer diagonal, add .

The length of the longer diagonal is  units long.

Example Question #21 : How To Find The Length Of The Diagonal Of A Kite

If the area of a kite is  square units, and the length of one diagonal is  units shorter than the other, what is the length of the shorter diagonal?

Possible Answers:

Correct answer:

Explanation:

Let  be the length of the shorter diagonal. Then the length of the longer diagonal can be represented by .

Recall how to find the area of a kite:

Plug in the given area and solve for .

Since we are dealing with geometric shapes, the answer must be a positive value. Thus, .

The length of the shorter diagonal is  units long.

Example Question #1 : How To Find The Area Of A Kite

Which of the following shapes is a kite?

Shapes

Possible Answers:

Correct answer:

Explanation:

A kite is a four-sided shape with straight sides that has two pairs of sides. Each pair of adjacent sides are equal in length. A square is also considered a kite.

Example Question #1 : How To Find The Area Of A Kite

What is the area of the following kite?

Kites

Possible Answers:

Correct answer:

Explanation:

The formula for the area of a kite:

,

where  represents the length of one diagonal and  represents the length of the other diagonal.

Plugging in our values, we get:

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