Engage NY Eureka Math 3rd Grade Module 7 End of Module Assessment Answer Key
Eureka Math Grade 3 Module 7 End of Module Assessment Task Answer Key
Question 1.
Katy and Jane construct a four-sided wall to surround their castle. The wall has a perimeter of 100 feet. One side measures 16 feet. A different side measures 16 feet. A third side measures 34 feet.
a. Draw and label a diagram of the wall. Use a letter to represent the unknown side length.
b. What is the unknown side length? Show your work, or explain how you know.
c. Katy and Jane build a square fence around the castle’s pool. It has a perimeter of 36 feet. What is the area that the fence encloses? Use a letter to represent the unknown. Show your work.
Answer:
Question 2.
Each shape has a missing side length labeled with a letter. The perimeter of the shape is labeled inside. Find the unknown side length for each shape.
Answer:
Question 3.
Suppose each 
is 1 square centimeter.
a. Find the area and perimeter of each shape.
b. John says, “If two shapes have the same area, they must also have the same perimeter.” Is John correct? Use your answer from part (a) above to explain why or why not.
Answer:
Question 4.
Mr. Jackson’s class finds all possible perimeters for a rectangle composed of 36 centimeter tiles. The chart below shows how many students found each rectangle.
| Perimeter |
Number of Students |
| 24 cm | 6 |
| 26 cm | 9 |
| 30 cm | 5 |
| 40 cm | 7 |
| 74 cm | 4 |
a. Check the students’ work. Did they find all the possible perimeters? How do you know?
b. Use the chart. Estimate to construct a line plot of how many students found each perimeter.
Number of Students Who Found Each Perimeter
Answer:
Question 5.
The square to the right has an area of 16 square centimeters.
a. What is the length of each side? Explain how you know.
b. Draw copies of the square above to make a figure with a perimeter of 32 centimeters.
c. Write a number sentence to show that your figure has the correct perimeter of 32 centimeters.
Answer: