Perimeter and Applications
Set Operations

Probability of Equally likely outcomes
100

Aaliyah wants to build a rose garden for her flowers. The garden that she wants is 6yds long. What's the area and perimeter of the garden?

P=2(6yds)+2(6yds)

12yds+12yds=24yds

A=6ydsx6yds= 36yds

100

Larry asked his friends what they wanted to eat. 9 said pizza, 5 said Burgers, and 4 said both. What are the following sets. P={}, B={}, S=(BuP)={}, and S=(PnB)={}

P={9}, B={5}, S=(5u9)={4,5,9}, S=(5n9)={5,9}

100

Miranda wants to roll a 5 to win in candyland. What is the probability in rolling a five? Simplify answer.

1/6

200

Miranda is moving apartment, so she ordered moving boxes. The length of the boxes is 22in, and the width is 21in. What is the area and perimeter of the box?

A=22inx21in=462in

P=2(22in)+2(21in)

P=44in+42in=64in

200

Mrs.Keely asked her class if they wanted assigned groups. 8 said yes, 10 said no, and 6 said yes&no. What are the following sets. Y={}, N={}, S=(YuN)={}, and S=(YnN)={}

Y={8}, N={10}, S=(YuN)={6,810}, and S=(YnN)={8,10}

200

Kayla is doing a babyshower. Her guests has to guess what's the gender. 6 guests said it was a boy, 10 said girl. What is the probability of choosing boy at random. Simplify asnwer.

6/16=3/8
300

Sarah wants to do a lap around her apartment building, the length is 40ft, the width is 21ft, and the doorway is 4ft. What is the perimeter of the building?

P=40ft+21ft+4ft+17ft+36ft+4ft=122ft

300

The class is doing a pet survey about who has cats, dogs, or both. There are 24 students in total, 11 students said that they have cats, 9 said dogs, and 4 had both. What are the following sets? C={}, D={}, S=(CuD)={}, and S=(CnD)={}

C={11}, D={9}, S=(DuC)={4,9,11}, and S=(DnC)={9,11}

300

Ms.Carson surveyed her class on who is a cat or dog person. 11 students said cats and 10 students said dogs. Find the probability of choosing a cat person at random. Simplify answer.

11/21

400

Layla wants to build a pet pen for her bunny Snow. The length of the pen is 28in and the width is 56in. What is the area and perimeter of the pet pen?

P=2(28in)+2(56in)

P=56in+112in=168in

A=28inx56in=1,568in

400

Sal and Val surveyed their friends on what game was popular. 5 said Fornite, 4 said Minecraft, and 3 said both. What are the following sets. F={}, M={}, S=(FuM)={}, and S=(FnM)={}

F={5}, M={4}, S=(MuF)={3,4,5}, and S=(MnF)={4,5}

400

If choosing letters from the alphabet A, G, M, O, at random. What is the probability of choosing a letter at random? Simplify answer.

4/26=2/13

500

Lizzie is buying tiles for her basement floor. Each tile is 1ft by 1ft. Her basement floor's length is 10 ft and the width is 5ft. What is the area and the perimeter of the basement floor?

P=2(10ft)+2(5ft)

P=20ft+10ft=30ft

A10ftx5ft=50ft

500

Mr.Anderson's class needs to choose games to play. 5 want volleyball, 4 want soccer, 6 want dodgeball, 3 want all three, 2 want soccer and volleyball, 2 want volleyball and dodgeball, 2 want dodgeball and soccer. What are the following sets. V={}, S={}, D={} S=(VuS)={}, and S=(DnV)={}

V={5}, S={4}, D={6} S=(VuS)={2,3,4,5}, and S=(DnV)={5,6}, S=(DuS)={2,3,4,6}, S=(DnS)=(4,5)

500

Maritza and her siblings talk about what animals they like. 2 of them said dogs and three said cats. What's the probability of choosing dogs at random? Simplify answer.

2/5