How can you divide the figure into 2 rectangles to find the total area of the figure? Select two choices that represent the areas of the 2 rectangles.

An irregular figure is shown. Starting from the bottom left corner of the figure, the outline of the figure moves up 8 inches, to the right 4 inches, down 4 inches, to the right 4 inches, down 4 inches, and to the left 8 inches to end at the starting point.

A. 2×2=4 square inches

B. 2×4=8 square inches

C. 4×4=16 square inches

D. 4×8=32 square inches

E. 8×8=64 square inches

1 answer

To divide the figure into 2 rectangles, we can draw a horizontal line cutting the figure in half. The line would be drawn between the two 4-inch segments. This creates a rectangle with dimensions 8 inches by 4 inches on the left and a rectangle with dimensions 8 inches by 2 inches on the right. Therefore, our two choices are:

B. 2×4=8 square inches (for the rectangle on the right)
D. 8×4=32 square inches (for the rectangle on the left)

The total area of the figure would be the sum of the areas of the two rectangles, which is 8+32=40 square inches.