### All Advanced Geometry Resources

## 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:**

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:**

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:**

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:**

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:**

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:**

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:**

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:**

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?

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

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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