SOLUTION: lucy has a rectangular plot of land with a length of 20 feet and a width of 10 feet. She wants to design a flower garden in the shape of a circle with two semicircles at each end o
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Question 872181: lucy has a rectangular plot of land with a length of 20 feet and a width of 10 feet. She wants to design a flower garden in the shape of a circle with two semicircles at each end of the center circle. She will fill in the remaining area with wood chips. If one bag of wood chips covers 5 square feet, how many bags must she buy to fill the shaded area?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Basically she has two half circles and and on circle at the centre
which means 2 full circles
The diameter of the circles will be the width of the plot which is 10 feet
so radius of the circles will be 5 ft
Area of circle = pir^2
= pi * 5^2
= 25 pi
two circles
so 50 pi is the area of the garden
=157 sq.ft
area of rectangle = 20 * 10 = 300 sq.ft
area to be covered with chips = 200 -157= 43 sq. ft
5 sq. ft ----------1 bag
43 sq. ft ----------- 43/5 = 8.6 bags
= 9 bags
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