(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The widths (in meters) of a kidney-shaped swimming pool were measured at 2 meter intervals as indicated in the figure. Use Simpson's Rule to estimate the area of the pool. Please round the answer to the nearest square meter.

a = 5.8

b = 6.6

c = 5.4

d = 5.8

e = 5.2

f = 4.8

g = 5.2

2. Relevant equations

I know that the general formula for Simpson's rule is [tex]\frac{b-a}{6}[/tex][f(a)+4f[tex]\frac{a+b}{2}[/tex]+f(b)]

Which is applicable over n subintervals

3. The attempt at a solution[/b

My attempt was to do:

[tex]\frac{2}{6}[/tex][5.8+4[tex]\frac{5.8+6.6}{2}[/tex]+6.6] + [tex]\frac{2}{6}[/tex][6.6+4[tex]\frac{6.6+5.4}{2}[/tex]+5.4] +

...

[tex]\frac{2}{6}[/tex][4.8+4[tex]\frac{4.8+5.2}{2}[/tex]+5.2]

But that did was not right.

My gripe is that the question does not allow me to find the function of [tex]\frac{a+b}{2}[/tex]

Does anyone have any suggestions on how to tackle this problem? Thanks

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# Simpson's Rule Problem

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