SOLUTION: Shannon bought a piece of plywood that was 4-1/2 feet wide and 8-1/4 feet long. she cut out a 3 foot diameter circle for a table she was making. Shannon then sold the leftover ply

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Shannon bought a piece of plywood that was 4-1/2 feet wide and 8-1/4 feet long. she cut out a 3 foot diameter circle for a table she was making. Shannon then sold the leftover ply      Log On


   

Question 914903: Shannon bought a piece of plywood that was 4-1/2 feet wide and 8-1/4 feet long. she cut out a 3 foot diameter circle for a table she was making. Shannon then sold the leftover plywood to a friend for $1.75 per square foot. How much did Shannon'e friend pay for the leftover plywood?
THANKS
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
She started with +4.5%2A8.25+=+37.125+, or
37-1/8 square feet
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Find the area of the circle
+A+=+pi%2Ar%5E2+
where +r+ = the radius
radius = (1/2)*diameter
+r+=+3%2F2+ ft
+A+=+pi%2A%283%2F2%29%5E2+
+A+=+%28+9%2Api+%29%2F4+
+A+=+28.269+%2F+4+
+A+=+7.06725+
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( leftover plywood ) = ( area she started with ) - ( area of circle )
leftover plywood = +37.125+-+7.06725+
leftover plywood = +30.05775+ square feet
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her friend paid:
( cost per square foot ) x ( square feet left over )
+1.75%2A30.05775+=+52.60106+
You can't have fractions of a penny, so her
friend paid $52.60
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Hope this helps