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Question 139255This question is from textbook Mathematics for Elementary School Teachers
: This is about a swimming pool. Each end is a semicircle and the length and width of the rectangle are 40 feet and 20 feet, respectively. If their were a 1 foot wide cement border around the pool, What would be the area of the border?
This question is from textbook Mathematics for Elementary School Teachers
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! : This is about a swimming pool. Each end is a semicircle and the length and width of the rectangle are 40 feet and 20 feet, respectively. If their were a 1 foot wide cement border around the pool, What would be the area of the border?
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The diameter of the circle halves which make up the ends = 20 ft, radius = 10 ft
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Find the area of the two half circles:
A = pi*10^2
A = 314.16 sq ft
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Add to the rectangular portion:
314.16 + (20*40) = 1114.16 sq ft is the total of the pool
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Find the overall area which include the 1 foot border and the pool:
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Diameter of the ends, and the width of the pool = 22 ft, radius = 11 ft.
length of rectangular portion remains the same; 40 ft
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A = pi*11^2
A = 380.13 sq ft
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Add the rectangular portion
380.13 + (22*40) = 1260.13 sq ft is the total area (pool & border)
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Find the area of the border only:
Total area - pool area = border area
1260.13 - 1114.16 = 145.97 ~ 146 sq ft
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