Question

Each square in Figures D and E has a side length of 1 unit. Compare the area of the two figures. Which figure has more area? How much more? Explain or show your reasoning.

Answer 1

Option B has more, if you want to have mathematical work just set each of the square side lengths to 1. In the first figure, you have 4 units square for each square so 2 units sq on the first and 4 on the second. Then since the other shapes are half circles or 1/4 circles we can put them together to get full and partial circles. The first shape had 2 full circles and the second shape has 1.5. SO using 1 as the radius, you get 3.14 units sq per circle. Leaving you with (circles) 6.28 + (squares) 2 leaving you with 8.28 units sq for figure 1 and (circles) 4.71  + (squares) 4 leaving you with 8.71 for figure 2. This leaves you with a .43 difference. Hope this helps