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Autum H.

asked • 04/08/20

Geometry/math problem

How much of the field is being watered ?

-It's a rectangle

-it's 92 circles inside

-diameter is d=50ft

area of the rectangle (550ft x350ft=192,500) minus the area of the circle,then divide.

Mark M.

If the diameter of each circle is 50 ft then only 77 can fit in the rectangle.
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04/08/20

Autum H.

what does that mean ?
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04/08/20

Mark M.

If the field is 550 ft long and the circle has a 50 ft diameter then only 11 circles fit along the length. If the field is 350 ft wide then only 7 circles can fit along the width. 11 rows of 7 equal 77 not the 96 in the problem.
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04/08/20

Autum H.

so 77 of the field is not being watered ?
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04/08/20

Mark M.

No there are at most 77 circles in the field. The area of the 77 circles is the area of the rectangle that is watered.
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04/08/20

Autum H.

So the area of the rectangle that is watered is 192,500.
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04/08/20

Karen D.

What is the diameter of each of the 92 circles?
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04/09/20

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