Lesson 10 Solve Area Problems
Let’s solve area problems.
Warm-up Number Talk: One More Group
Find the value of each expression mentally.
Activity 1 Paint a Wall
Noah is painting a wall in a community garden. The wall is shaped like a rectangle. A diagram of the wall is shown here.
Paint is sold in 3 different sizes:
A small container will cover 3 square meters.
A medium container will cover 10 square meters.
A large container will cover 40 square meters.
What should Noah buy? Explain your reasoning.
Activity 2 Create a Garden
Elena is planning how to use her rectangular space in the community garden. She needs a space that is at least 20 square feet to fit her plants. She has enough soil for a garden that is 30 square feet. The space she has available has to be 3 feet on one side.
What are the possible sizes for her garden?
Create a poster to show your thinking. Organize it so it can be followed by others.
As you look at the posters with your group:
Describe how another group solved the problem in a different way than your group did.
Write three things you saw that helped you understand how other students solved the problem.
Tyler has 40 carpet squares that are 1 foot on each side. He wants to use all of them to make a rectangle-shaped carpet for his room.
For the carpet to fit in the room, the longest side cannot be more than 12 feet. What side lengths could Tyler’s rectangle have?