Question

Rectangles can have the same perimeter but different areas. Show this using the grid below by drawing four rectangles, each with a perimeter of 16 but with areas of 7, 12, 15, and 16.

1. Draw four rectangles with the specified perimeters and areas.
2. Draw three rectangles with the specified perimeters and areas.
3. Draw five rectangles with the specified perimeters and areas.
4. Do not draw any rectangles

Answer 1

Rectangles with the same perimeter can have different areas. Here are four examples.

Step-by-step explanation:

To show that rectangles can have the same perimeter but different areas, we can draw four rectangles with a perimeter of 16 inches but with areas of 7, 12, 15, and 16.1 square inches. Here's how:

1. For an area of 7 square inches, we can draw a rectangle with dimensions of length = 2 inches and width = 3 inches.
2. For an area of 12 square inches, we can draw a rectangle with dimensions of length = 3 inches and width = 3 inches.
3. For an area of 15 square inches, we can draw a rectangle with dimensions of length = 3.5 inches and width = 4 inches.
4. For an area of 16.1 square inches, we can draw a rectangle with dimensions of length = 4 inches and width = 4.025 inches.