Factoring Area Models and Distributive Fun in Math

A gardener is planting flowers in a rectangular garden that is 6 feet wide and 4 feet long. If he wants to create a border around the garden that is 1 foot wide, what will be the area of the garden including the border? Use the distributive property to solve.

• 40 square feet

• 36 square feet

• 54 square feet

• 48 square feet

A school is organizing a field trip for 120 students. If each bus can hold 30 students, how many buses are needed? Use an area model to represent the multiplication and find the answer.

• 6

• 4

• 5

• 3

Maria has 24 apples and wants to pack them into bags. If she puts 6 apples in each bag, how many bags will she need? Use the distributive property to help solve the problem.

• 4

• 5

• 6

• 3

A rectangular playground measures 10 meters by 5 meters. If the city plans to add a 2-meter wide path around the playground, what will be the new area of the playground including the path? Use an area model to visualize the problem.

• 120 square meters

• 110 square meters

• 100 square meters

• 126 square meters

Tom is making gift bags for a party. He has 15 candies and wants to put them into bags with 3 candies each. How many bags can he make? Use the distributive property to find the solution.

• 4

• 6

• 3

• 5

A farmer has a field that is 8 meters long and 3 meters wide. He wants to plant corn in a section that is 2 meters wide along the length. What is the area of the section where he will plant corn? Use an area model to solve this problem.

• 24 square meters

• 16 square meters

• 6 square meters

• 12 square meters

A pizza shop sells pizzas that are cut into 8 slices. If a customer orders 5 pizzas, how many slices will they have in total? Use the distributive property to calculate the total number of slices.

• 40 slices

• 48 slices

• 24 slices

• 32 slices

A rectangular swimming pool is 12 feet long and 4 feet wide. If a deck is built around the pool that is 2 feet wide, what will be the total area of the pool and the deck? Use an area model to find the answer.

• 96 square feet

• 128 square feet

• 144 square feet

• 100 square feet

Lily is organizing her books on a shelf. If she has 36 books and wants to arrange them in rows of 6, how many rows will she have? Use the distributive property to solve this problem.

• 8

• 7

• 6

• 5

A rectangular garden measures 9 feet by 3 feet. If a fence is built around the garden that is 1 foot away from the edges, what will be the area of the fenced-in space? Use an area model to visualize and solve the problem.

• 55 square feet

• 30 square feet

• 45 square feet

• 72 square feet