The widths (in meters) of a kidney-shaped swimming pool were measured at 5-meter intervals as indicated in the figure. Use the Midpoint Rule with n= 4 to estimate the area S of the pool if a = 12.4, az = 14.4, ag = 13.6, a = 11.2, as = 10, as = 9.6, and ay = 9.6.
The widths (in meters) of a kidney-shaped swimming pool were measured at 5-meter intervals as indicated in the figure. Use the Midpoint Rule with n= 4 to estimate the area S of the pool if a = 12.4, az = 14.4, ag = 13.6, a = 11.2, as = 10, as = 9.6, and ay = 9.6.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 34E: The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the...
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Step 1
If is the width of the pool at we have.
0 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | |
0 | 12.4 | 14.5 | 13.6 | 11.2 | 10 | 9.6 | 9.6 | 0 |
Since , considered points are 0,10 , 20, 30 and 40.
Therefore respective mid points are 5, 15, 25 and 35.
Determine the subinterval length.
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