Perimeter and Area Challenges
PERIMETER AND AREA CHALLENGES
Use the MOVE (pointer) tool to grab and drag the corners of the squares to meet these challenges.
Use the MOVE GRAPHICS VIEW tool to move the GeoGebra page as necessary.
Challenge 1
Change the blue and red squares into two rectangles with the same perimeter, but different areas.
Challenge 2
Using the orange and purple squares, find two rectangles with the same area, but different perimeters.
Challenge 3
Using the brown square, adjust the corners until the perimeter is 8 units. For the orange square, adjust the corners so that the length and width are double of units of the brown rectangle. The perimeter should be 16.
Follow-up
Use your new rectangles to answer the questions below.
Perimeter - Area Challenges
Blue and Red Rectangles
What is the perimeter of both of the rectangles? What is the area of the blue rectange? the red rectange?
Orange and Purple Rectangles
What is the area of both rectangles? What is the perimeter of the orange rectangle? the purple rectangle?
Brown and Green Rectangles
The two rectangles you created with a perimeter of 8 and 16 are similar. Compare the areas of these rectangles. How would you describe their relationship to each other?