Factoring and Distributive Property in Real-Life Scenarios

A gardener has a rectangular garden with a length of 12 meters and a width of 8 meters. He wants to create a path around the garden that is 1 meter wide. What will be the area of the path?

• 44 square meters

• 50 square meters

• 36 square meters

• 32 square meters

A school is organizing a field trip for 48 students. They want to arrange them in groups of equal size. What are the possible group sizes they can use?

• 5

• [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]

• 20

• 10

A factory produces 240 toys each day. If they want to package these toys in boxes that can hold 12 toys each, how many boxes will they need?

• 20

• 25

• 30

• 15

A rectangular swimming pool has a length of 15 meters and a width of 10 meters. If the pool is to be surrounded by a deck that is 2 meters wide, what will be the total area of the deck?

• 100 square meters

• 150 square meters

• 116 square meters

• 80 square meters

A farmer has 60 apples and wants to pack them into bags. If each bag can hold 5 apples, how many bags will he need?

• 10

• 15

• 12

• 8

A pizza shop sells pizzas in two sizes: small and large. A small pizza costs $8 and a large pizza costs $12. If a customer buys 3 small pizzas and 2 large pizzas, how much will they spend in total?

• $36

• $48

• $40

• $52

A bookstore has a sale where every book is discounted by 20%. If a customer buys 5 books that originally cost $15 each, how much will they save?

• $20

• $5

• $10

• 15

A rectangular plot of land measures 20 meters by 30 meters. If the owner wants to divide it into smaller plots of equal size, what are the possible dimensions of the smaller plots?

• 3m x 4m

• Possible dimensions of smaller plots include: 1m x 1m, 1m x 2m, 2m x 2m, 2m x 5m, 5m x 5m, 10m x 10m, 1m x 5m, 2m x 10m, 5m x 2m, 10m x 1m.

• 25m x 30m

• 15m x 20m

A concert hall has 120 seats in each row. If there are 10 rows, how many seats are there in total?

• 1200

• 120

• 1500

• 1000

A chef is making a large batch of cookies. If each batch requires 24 chocolate chips and he wants to make 5 batches, how many chocolate chips does he need in total?

• 96

• 100

• 120

• 144