IM 8.8.1 Lesson: The Areas of Squares and Their Side Lengths
In the applet below, which shaded region is larger below? Explain your reasoning.
Find the area of shaded square (in square units).
Find the area of shaded square (in square units).
Find the area of shaded square (in square units).
Any triangle with a base of 13 and a height of 5 has an area of . Both shapes in the figure have been partitioned into the same four pieces. Find the area of each of the pieces, and verify the corresponding parts are the same in each picture. There appears to be one extra square unit of area in the right figure. If all of the pieces have the same area, how is this possible?
Find the areas of squares D, E, and F.
Which of these squares must have a side length that is greater than 5 but less than 6? Explain how you know.
Use the applet below to determine the total area of the five shapes, , , , , and . Assume each small square is equal to 1 square unit.