Section D: Practice Problems Design with Perimeter and Area

Section Summary

Details

In this section we reasoned about shapes to design wax prints, a park, and a robot.

Also, we solved problems involving area and perimeter.

sample response. robot on dot grid

Problem 1 (Lesson 13)

The perimeter of a rectangular park is 444 meters. The park is 175 meters long. How wide is the park? Explain or show your reasoning.

Problem 2 (Lesson 14)

  1. Where do you see rhombuses in the design?

  2. Where do you see rectangles in the design?

  3. Are there any triangles in the design?

Problem 3 (Lesson 15)

  1. The body of your robot has a perimeter of 64 units. What were some different lengths and widths you could choose that fit on the grid?

  2. The head has a perimeter of 36 units. What were some different lengths and widths you could choose for the head that fit on the grid?

Problem 4 (Exploration)

Han is making a rectangular garden in his backyard. He has 42 feet of fencing and the garden needs to be at least 3 feet wide. What are the possible lengths and widths of the garden Han could make? Explain or show your reasoning.

Problem 5 (Exploration)

The small square is 6 inches long. What is the perimeter of the design? Explain or show your reasoning.