Perimeter & Area
F/D/%
Problem Solving
Simply Put!
Solutions!
100

If the base of a triangle is 13.5 feet and the height of the triangle is 8.25 feet, what is its area?

A = 55.6875 ft2

100

What fraction of 300 is 60?

Write out an equation, then solve.

Equation:  f x 300 = 60

f = 1/5

100

Write out the prime factorizations of:  12, 16, and 30.

a)  Find the GCF

b)  Find the LCM

a)  GCF = 2

b)  LCM = 240
100

Simplify:  4 divided by 10 2/3

Give your answer as a fraction.

3/8

100

Solve:  15.43 - b = 13.2

b = 2.23

200

Graph the following points, connect the dots on the grid board, then determine the area of the figure.

(-2, 4), (6, 4), (6, -3)

Area = 28 units2

200

Write 375% as a decimal and as a fraction.

D = 3.75

F = 15/4

200

Todd ran 3 laps in 1 minute 15 seconds.  Mike ran the same three laps in 98 seconds.  How many seconds faster was Mike than Todd?

23 seconds

200

Divide 6.1 by 11.  Write out the quotient with a bar over the repetend.

0.554545454...

0.5 with a bar over the next 54

200

Solve:   a / 6 = 35 / 10

a = 21

300

If the perimeter of a square is 56 inches, what is its area?

A = 196 in2

300

There are 6 blue marbles, 4 red marbles, and 5 green marbles in a bag.  What is the probability of:

a)  Choosing a green marble?

b)  Choosing a blue or a red marble?

a) 1/3

b) 2/3

300

During the first half of this year, our heating / cooling bills were:  $99.49, $101.75, $140.24, $98.32, $121.78, and $95.60.  What was our average utility bill for these months?

$109.53

300

What is the total cost of a $43.75 item with 6.5% sales tax?

Round to the nearest penny.

Cost = $46.59

300

Evaluate:  ab - bc + c2

If a = 5, b = 4, and c = 3

17

400

The coordinates of three vertices of a rectangle are:

(-7, -1),  (4, -1), and (4, 3)

a) What is the coordinates of the fourth vertex?

b) What is the area of the rectangle?

a)  (-7, 3)

b)  44 units2

400

The ratio of daffodils to lilacs in the garden was 9 to 14.  If there were 54 daffodils, how many lilacs were there?

84 lilacs

400

A one-year subscription to a monthly magazine costs $35.64.  The regular newstand price is $3.25 per issue.  How much is saved per issue by paying the subscription price?

$0.28 per issue

400

Simplify:  92 - 33 + sqrt(100) - 42

48

400

The average of four numbers is 92.  If three of the numbers are 86, 90, and 97, what is the fourth number?

95

500

The perimeter of a square equals the perimeter of a regular pentagon.  Each side of the pentagon is 36 inches.  What is the measure of each side of the square?

45 inches

500

What percent of 42 is 105?

250%

500

Three fifths of the students at school had worn the proper uniform to the concert.  If there were 145 students,

a)  How many wore the proper uniform?

b) What percent did not wear the proper uniform?

a)  87 students

b)  40%

500

a) Add:  15 yds.  2 ft.  10 in.

        +    9 yds.   1 ft.  9 in.

b)  Add:  4 hrs.  40 min.   35 sec.

        +   6 hrs.  50 min.   55 sec.


a) 25 yds. 1 ft. 7 in.

b)  11 hrs.  31 min. 30 min.

500

If the perimeter of a rectangle is 76 inches, and the length of the rectangle is 20 inches, what is the width?

Width = 18 inches