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Intermediate Geometry : Kites

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #4 : How To Find The Length Of The Side Of A Kite

A kite has a perimeter of inches. One pair of adjacent sides of the kite have lengths of inches. What is the measurement for one of the other two sides of the kite?

Possible Answers:

4in

1in

$\frac{7}{2}in$

3in

7in

Correct answer:

3in

Explanation:

To find the missing side of this kite, work backwards using the formula:

p=2(a+b) , where and represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

34=2(14+b)

$\frac{34}{2}=14+b$

17=14+b

b=17-14=3

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

Vt_custom_kite_series_int._geo

Using the kite shown above, find the length of side

Possible Answers:

18cm

$\frac{21}{2}cm$

21cm

9cm

11cm

Correct answer:

18cm

Explanation:

To find the missing side of this kite, work backwards using the formula:

p=2(a+b) , where and represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

58=2(11+b)

$\frac{58}{2}=11+b$

29=11+b

b=29-11=18

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Example Question #2 : How To Find The Length Of The Side Of A Kite

Vt_custom_kite_series_cont._

Using the kite shown above, find the length of side . (Note, the perimeter of this kite is equal to 2.5 feet).

Possible Answers:

4ft

1.25ft

1.5ft

$\frac{3}{4}ft$

$\frac{12}{5}in$

Correct answer:

$\frac{3}{4}ft$

Explanation:

To find the missing side of this kite, work backwards using the formula:

p=2(a+b) , where and represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

2.5 feet=2(0.5 foot+b)

$\frac{2.5}{2}=(0.5+b)$

1.25=0.5+b

$b=1.25-0.5=0.75=\frac{3}{4}$

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

Ms. Dunn has a kite shaped backyard with a perimeter of yards. One pair of adjacent sides of the kite-shaped backyard each have lengths of yard. What is the measurement for one of the other two sides of the kite-shaped backyard?

Possible Answers:

26yds

7yds

24yds

18yds

23yds

Correct answer:

23yds

Explanation:

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Example Question #2 : How To Find The Length Of The Side Of A Kite

A kite has a perimeter of 138 mm. One pair of adjacent sides of the kite have lengths of mm. What is the measurement for one of the other two sides of the kite?

Possible Answers:

26mm

105mm

79mm

36mm

69mm

Correct answer:

36mm

Explanation:

To find the missing side of this kite, work backwards using the formula:

p=2(a+b) , where and represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

138=2(33+b)

$\frac{138}{2}=33+b$

69=33+b

b=69-33=36

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Example Question #6 : How To Find The Length Of The Side Of A Kite

Kite_series_cont....

Using the above kite, find the length of side .

Possible Answers:

5.5in

11.5in

12in

5in

10.5in

Correct answer:

5.5in

Explanation:

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Example Question #7 : How To Find The Length Of The Side Of A Kite

The lengths of the non-adjacent sides of a kite have the ratio 4:1 . If the longer sides have a length of cm, what is the length of each of the shorter two sides?

Possible Answers:

$\frac{4}{12}cm$

4cm

3cm

1.5cm

19cm

Correct answer:

3cm

Explanation:

The sides have the ratio 4:1 , thus the longer sides must be times greater than the smaller sides.

Since the longer sides are cm, the shorter sides must be:

$12\div4=3$

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Example Question #11 : Kites

A kite has a perimeter of 214 mm. One pair of adjacent sides of the kite have lengths of mm. What is the measurement for one of the other two sides of the kite?

Possible Answers:

41mm

107mm

53mm

55mm

71mm

Correct answer:

55mm

Explanation:

To find the missing side of this kite, work backwards using the formula:

p=2(a+b) , where and represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

214=2(52+b)

$\frac{214}{2}=(52+b)$

107=52+b

b=107-52=55

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Example Question #12 : Kites

Kite_pic_custom_vt

Find the longest side of the kite that is shown above.

Possible Answers:

89in

$\frac{91}{2}in$

83in

93in

81in

Correct answer:

83in

Explanation:

To find the missing side of this kite, work backwards using the formula:

p=2(a+b) , where and represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

324=2(79+b)

$\frac{324}{2}=(79+b)$

162=(79+b)

b=162-79=83

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Example Question #13 : Kites

A kite has a perimeter of $3\frac{1}{2}$ feet. One pair of adjacent sides of the kite have lengths of foot each. What is the measurement for one of the other two sides of the kite?

Possible Answers:

$\frac{1}{4}ft$

$\frac{3}{4}ft$

$1\frac{1}{3}ft$

$1\frac{1}{4}ft$

$\frac{2}{3}ft$

Correct answer:

$\frac{3}{4}ft$

Explanation:

To solve this problem use the formula p=2(a+b) , where and represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

$3\frac{1}{2}=2(1+b)$

$3\frac{1}{2}\div2=1+b$

Make the first fraction into an improper fraction. Then find the reciprocal of the denominator and switch the operation sign:

$3\frac{1}{2}\times\frac{1}{2}$

$\frac{7}{2}\times \frac{1}{2}=1+b$

$\frac{7}{4}=1+b$

$b=\frac{7}{4}-\frac{4}{4}=\frac{3}{4}$

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Intermediate Geometry : Kites

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #4 : How To Find The Length Of The Side Of A Kite

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

Example Question #2 : How To Find The Length Of The Side Of A Kite

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

Example Question #2 : How To Find The Length Of The Side Of A Kite

Example Question #6 : How To Find The Length Of The Side Of A Kite

Example Question #7 : How To Find The Length Of The Side Of A Kite

Example Question #11 : Kites

Example Question #12 : Kites

To find the missing side of this kite, work backwards using the formula:

Example Question #13 : Kites

All Intermediate Geometry Resources

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