Estimate the surface area of the pond shown in the figure using the Midpoint Rule.

Question

Estimate the surface area of the pond shown in the figure using the Midpoint Rule. ​  ​

Quizplus · Accepted Answer

The Midpoint Rule involves dividing the area into rectangles and finding the area of each rectangle using the midpoint of its base. By counting the number of rectangles, we can estimate the total surface area. Counting the rectangles in the given figure, we have 18 rectangles in total. Using the Midpoint Rule, we can estimate the surface area as:
Surface area = (width of rectangle) x (height of rectangle)
            = (2+2.5+3+3+3+3+3+3+3+2.5+2) x (1+1+1+1+1+1+1+1+1+1+1)
            = 30.5
Therefore, the estimated surface area of the pond is 30.5 square feet, which is closest to option B (11ea8970_6a72_4f3a_861b_8d6b7ad64f28_TB1301_11)

Estimate the Surface Area of the Pond Shown in the Figure