Multiple Choice
Mrs. Gee has 24 carpet squares. How should she arrange them so that she has the smallest perimeter?
A. 12 by 2 rectangle
B. 1 by 24 rectangle
C. 8 by 3 rectangle
D. 4 by 6 rectangle
D. 4 by 6 rectangle
4 x 6 = 24
Tori is making a square table. Each side is 6 feet long. Is the perimeter of the table the same as the area of the table? Explain.
No, the perimeter is 24 feet. The area is 36 feet.
Look at the shapes Kyle drew in question 8. Select all of the statements that are true about the shapes.
1. The shapes have different perimeters.
2. The shapes have the same perimeter.
3. The shapes have different areas.
4. The shapes have the same area.
5. The square has a greater area than the rectangle.
1. The shapes have different perimeters.
4. The shapes have the same area.
Look at Al's playground design in question 5. Which of the following shapes has a different area, but the same perimeter as Al's design?
D
The perimeter is 18 units.
Della drew a rectangle with a perimeter of 34 centimeters. She labeled one side 7 centimeters, but she forgot to label the other side. Fill in the missing side length.
10 cm
10 cm + 7 cm + 10 cm + 7 cm = 34 cm
Look at the picture of Pepper's dog pen in question 10. Find the perimeter and the area of the dog pen.
Perimeter = 20 meters
Area = 24 square meters
Look at the perimeter of the shape in question 6. The perimeter of the shape is 24 feet. What is the missing side length?
A. 4 feet
B. 5 feet
C. 6 feet
D. 7 feet
A 4 feet
3 ft + 3 ft + 1 ft + 1 ft + 6 ft + 6 ft = 20 ft
24 ft - 20 ft = 4 ft
Look at Robert's tile design in question 2. Draw another tile design that has the same area, but a different perimeter from Robert's design.
Answers may vary.
Look at the picture in question 10. Could a square with whole number side-lengths have the same perimeter as the dog pen? The same area? Explain.
A square could have the same perimeter if each side was 5 meters; A square could not have the same area because no whole number times itself equals 24.
Ms. Kent measures the perimeter of a common shape. One of the sides is 7 centimeters, and the perimeter is 21 centimeters. If all of the sides are the same length, what shape does Ms. Kent measure? Explain.
Equilateral triangle. Each side is 7 cm long. Because 7 + 7 + 7 = 21 , there are 3 sides. It must be a triangle.
A square picture frame has sides 24 inches long. What is its perimeter? Find the dimensions of a rectangle whose perimeter is less.
Perimeter = 96 inches
Sample answer 10 inches by 15 inches
Mandy's trapezoid-shaped garden has a perimeter of 42 feet. She knows the length of three sides: 8 feet, 8 feet and 16 feet. What is the length of the fourth side?
10 feet