IM 8.8.2 Lesson: Side Lengths and Areas
What do you notice? What do you wonder?
Use the circle to estimate the area of the square shown here:
What is your estimate for the area of the square?
Use the grid to check your answer to the first problem.
Was your estimate close?
One vertex of the equilateral triangle is in the center of the square, and one vertex of the square is in the center of the equilateral triangle. What is x?
Find the area of each square and estimate the side lengths using your geometry toolkit. Then write the exact lengths for the sides of each square.
Complete the tables with the missing side lengths and areas.
Plot the points, (s, a), on the coordinate plane shown here.
Use this graph to estimate the side lengths of the squares in the first question. How do your estimates from the graph compare to the estimates you made initially using your geometry toolkit?
Use the graph to approximate .