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 sub - interval width

$\Delta x = 2$

Step2: Identify mid - point widths

$w_1 = 3.6, w_2 = 2.8, w_3 = 2.5, w_4 = 2.4$

Step3: Apply mid - point rule formula

$A=\Delta x(w_1 + w_2+w_3 + w_4)=2(3.6 + 2.8+2.5 + 2.4)$

Step4: Calculate the area

$A = 2\times11.3=22.6$

Answer:

$22.6$