Question

the widths (in meters) of a kidney - shaped swimming pool were measured at 2 - meter intervals as indicated in the figure. use the midpoint rule with n = 4 to estimate the area (in m²) of the pool.

Explanation:

Step1: Identify $\Delta x$

$\Delta x = 2\times2= 4$

Step2: Select mid - point widths

Widths are 3.6, 2.8, 2.4, 2.4

Step3: Calculate area

$A=\Delta x(3.6 + 2.8+2.4 + 2.4)=4\times11.2 = 44.8$

Answer:

$44.8$