Question

paul says he can determine the area of the polygon shown by adding the areas of two rectangles. rima says she can determine the area of the polygon shown by finding the area of a square and then subtracting the area of a rectangle. who is correct? choose the best answer. only paul is correct. only rima is correct. both paul and rima are correct. neither paul nor rima is correct.

Explanation:

Step1: Check Paul's method

Paul splits the polygon into two rectangles. The area of the polygon equals the sum of the two rectangles' areas, so his method works.

Step2: Check Rima's method

Rima uses a square (outer boundary) minus a smaller rectangle (missing part). The area of the polygon equals the square's area minus the rectangle's area, so her method works.

Answer:

Both Paul and Rima are correct.