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ACT Math : How to find the perimeter of kite

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

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:

100

Correct answer:

Explanation:

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:

$P=2s_{1}+2s_{2}$

Where is the perimeter, s_1 is the length of the shorter sides, and s_2 is the length of the longer sides.

$P=(2\times 19)+(2\times 25)=88$

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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:

Explanation:

Write the formula to find the perimeter of the kite.

P=2(s1+s2)

Substitute the lengths and solve for the perimeter.

P=2(5+10) = 2(15)=30

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Example Question #3 : How To Find The Perimeter Of Kite

A kite has a side length of 47.5 and another side length of 11.5 . Find the perimeter of the kite.

Possible Answers:

118

70.5

106.5

Correct answer:

118

Explanation:

By definition a kite must have two sets of equivalent sides. Since we know that this kite has a side length of 47.5 and another side with a length of 11.5 , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

p=2(a+b)

p=2(47.5+11.5)

p=2(59)=118

Note: the correct solution can also be found by:

p=47.5+47.5+11.5+11.5=95+23=118

The original formula used in this solution is an application of the Distributive Property: 2a+2b=2(a+b)

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Example Question #4 : 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:

45.5

162

Correct answer:

Explanation:

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, $9\times2=18$ , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

p=2(a+b)

p=2(9+18)

p=2(27)=54

Note: the correct solution can also be found by:

p=9+9+18+18=18+36=54

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

Kite vt act

Using the kite shown above, find the perimeter measurement.

Possible Answers:

Correct answer:

Explanation:

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:

p=2(a+b)

p=2(12+17)

p=2(29)=58

Note: the correct solution can also be found by:

p=12+12+17+17=24+34=58

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Example Question #6 : How To Find The Perimeter Of Kite

Kite vt act

Using the kite shown above, find the perimeter measurement.

Possible Answers:

87.5

75.5

105

107.5

Correct answer:

105

Explanation:

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 $\frac{35}{2}=17.5$ , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

p=2(a+b)

p=2(35+17.5)

p=2(52.5)=105

Note: the correct solution can also be found by:

p=35+35+17.5+17.5=70+35=105

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Example Question #7 : How To Find The Perimeter Of Kite

Kite vt act

Using the kite shown above, find the perimeter measurement.

Possible Answers:

20.5

17.25

17.5

20.25

10.25

Correct answer:

20.5

Explanation:

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 3.25 , each of these two sides must have one equivalent side. Therefore, the perimeter of this kite can be found by applying the formula:

p=2(a+b)

p=2(7+3.25)

p=2(10.25)=20.5

Additionally, the correct solution can also be found by:

p=7+7+3.25+3.25=14+6.5=20.5

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Example Question #8 : How To Find The Perimeter Of Kite

Kite vt act

Using the kite shown above, find the perimeter measurement.

Possible Answers:

130

147

Correct answer:

130

Explanation:

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:

p=2(a+b)

p=2(26+39)

p=2(65)=130

Note: the correct solution can also be found by:

p=26+26+39+39=52+78=130

The original formula used in this solution is an application of the Distributive Property: 2a+2b=2(a+b)

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Example Question #9 : 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:

Explanation:

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

p=2(a+b)

p=2(40+8)

p=2(48)=96

Note: the correct solution can also be found by:

p=8+8+40+40=16+80=96

The original formula used in this solution is an application of the Distributive Property: 2a+2b=2(a+b)

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Example Question #10 : How To Find The Perimeter Of Kite

A kite has a side length of $\frac{3}{4} \textup{feet}$ and another side length of $\frac{1}{3}\textup{feet}$ . Find the perimeter of the kite.

Possible Answers:

$24\textup{ inches}$

$9\textup{ inches}$

$17\textup{ inches}$

$26\textup{ inches}$

$13\textup{ inches}$

Correct answer:

$26\textup{ inches}$

Explanation:

A kite must have two sets of equivalent sides. Since we know that this kite has a side length of $\frac{3}{4}\textup{feet}$ and another side with a length of $\frac{1}{3}\textup{feet}$ , each of these two sides must have one equivalent side.

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

p=2(a+b)

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

$\frac{3}{4}\textup{ft}=\frac{3}{4}\times\frac{3}{3}=\frac{9}{12}=9\textup{ inches}$

$\frac{1}{3}\textup{ft}=\frac{1}{3}\times \frac{4}{4}=\frac{4}{12}=4\textup{ inches}$

The solution is:

p=2(9+4)

p=2(13)=26

Note: the correct solution can also be found by:

p=9+9+4+4=18+8=26

The original formula used in this solution is an application of the Distributive Property: 2a+2b=2(a+b)

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ACT Math : How to find the perimeter of kite

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

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