A contractor is to build a rectangular swimming pool that has a length of L feet

Question

A contractor is to build a rectangular swimming pool that has a length of L feet and a width of W feet. A tile border of uniform width B is to be built around the outside of the pool (all 4 sides) using 1100 square feet of tile. The tile was purchased as discontinued stock so no additional tile is available 6. Create an anonymous function the contractor can use to calculate the width of the tile border B in terms of the length L and width W of the pool. (Hint: Model the geometry for this problem. The resulting equation will be a quadratic equation. Choose the "positive"sign when solving for the roots to the quadratic equation... B must be a positive value. Etaluate the function for L = 40 and w = 35 Evaluate the function for L = 80 and w 65 a. b. c. Partial Solutions ***Note -do not attempt to recreate the watermark over the plots. The watermark is there to prevent copying/pasting solutions into Word without getting the code to work. Use these answers as guides to help you learn how to write the code. 3.

Explanation / Answer

the quadratic equation can be obtained as follows

area of outer border - area of swimming pool = area of tiles

,i.e., (L + 2B)(W + 2B) - LW = 1100

,i.e., 4B2 + 2(L+W)B - 1100 = 0

a MATLAB function

global L;
global W;
L = input('enter L :');
W = input('enter W :');
p = [4 2*(L+W) -1100];
r = roots(p);
BorderWidth = r(r>=0)

b

enter L :40
enter W :35

BorderWidth =

6.2812

c

enter L :80
enter W :65

BorderWidth =

3.6130

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