### All ACT Math Resources

## Example Questions

### Example Question #38 : Quadrilaterals

A kite has two shorter sides and two longer sides. Each of the shorter sides has a length of 19 and each of the longer sides has a length of 25. What is the perimeter of the kite?

**Possible Answers:**

**Correct answer:**

Remember that a kite has two adjacent sets of shorter sides as well as two adjacent sets of longer sides.

Use the formula for perimeter of a kite:

Where is the perimeter, is the length of the shorter sides, and is the length of the longer sides.

### Example Question #1 : How To Find The Perimeter Of Kite

If the short side of a kite has a length of , and the long side of a kite has a length of , what is the perimeter of the kite?

**Possible Answers:**

**Correct answer:**

Write the formula to find the perimeter of the kite.

Substitute the lengths and solve for the perimeter.

### Example Question #42 : Quadrilaterals

A kite has a side length of and another side length of . Find the perimeter of the kite.

**Possible Answers:**

**Correct answer:**

By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side with a length of , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

Note: the correct solution can also be found by:

The original formula used in this solution is an application of the Distributive Property:

### Example Question #2 : How To Find The Perimeter Of Kite

A kite has a side length of and another side length that is twice as long. Find the perimeter of the kite.

**Possible Answers:**

**Correct answer:**

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side that is twice as long, , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

Note: the correct solution can also be found by:

### Example Question #44 : Quadrilaterals

Using the kite shown above, find the perimeter measurement.

**Possible Answers:**

**Correct answer:**

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side length of , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

Note: the correct solution can also be found by:

### Example Question #45 : Quadrilaterals

Using the kite shown above, find the perimeter measurement.

**Possible Answers:**

**Correct answer:**

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side length of , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

Note: the correct solution can also be found by:

### Example Question #2 : How To Find The Perimeter Of Kite

Using the kite shown above, find the perimeter measurement.

**Possible Answers:**

**Correct answer:**

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side length of , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

Additionally, the correct solution can also be found by:

### Example Question #4 : How To Find The Perimeter Of Kite

Using the kite shown above, find the perimeter measurement.

**Possible Answers:**

**Correct answer:**

By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side with a length of , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

Note: the correct solution can also be found by:

The original formula used in this solution is an application of the Distributive Property:

### Example Question #48 : Quadrilaterals

A kite has a side length of and another side length of . Find the perimeter of the kite.

**Possible Answers:**

**Correct answer:**

By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side with a length of , each of these two sides must have one equivalent side.

The perimeter of this kite can be found by applying the formula:

Note: the correct solution can also be found by:

The original formula used in this solution is an application of the Distributive Property:

### Example Question #5 : How To Find The Perimeter Of Kite

A kite has a side length of and another side length of . Find the perimeter of the kite.

**Possible Answers:**

**Correct answer:**

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of and another side with a length of , each of these two sides must have one equivalent side.

The perimeter of this kite can be found by applying the formula:

Additionally, this problem first requires you to convert each side length from feet to inches.

The solution is:

Note: the correct solution can also be found by:

The original formula used in this solution is an application of the Distributive Property:

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