SOLUTION: If a pool table measures 4ft by 8ft, what is the length from the back edge of the top left pocket to the bottom right pocket to the nearest tenth? A. 80ft B. 24.3ft C. 6.9ft

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: If a pool table measures 4ft by 8ft, what is the length from the back edge of the top left pocket to the bottom right pocket to the nearest tenth? A. 80ft B. 24.3ft C. 6.9ft       Log On


   



Question 150866: If a pool table measures 4ft by 8ft, what is the length from the back edge of the top left pocket to the bottom right pocket to the nearest tenth?
A. 80ft B. 24.3ft C. 6.9ft D. 8.9ft
It also says to make a sketch.
How should I do that?
By drawing a rectangle then label the top and the bottom of the rectangle 4ft and the sides of the rectangle 8ft?

Found 2 solutions by stanbon, vleith:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If a pool table measures 4ft by 8ft, what is the length from the back edge of the top left pocket to the bottom right pocket to the nearest tenth?
A. 80ft B. 24.3ft C. 6.9ft D. 8.9ft
It also says to make a sketch.
How should I do that?
By drawing a rectangle then label the top and the bottom of the rectangle 4ft and the sides of the rectangle 8ft?
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Draw a rectangle that is not a square.
Let the shorter side be 4 ft.
Let the longer side be 8 ft.
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Use the Pythagorean formula to find the diagonal.
d^2 = 4^2 + 8^2
d^2 = 16 + 64
d^2 = 80
d = sqrt(16*5)
d = 4sqrt(5)
d = 8.94 ft
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Cheers,
Stan H.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem
You are being asked for the length of the diagonal between two opposing corners
c%5E2+=+a%5E2+%2B+b%5E2
c%5E2+=+4%5E2+%2B+8%5E2
c%5E2+=+16+%2B+64
c%5E2+=+80
c+=+8.94
Answer D
As far as the sketch goes, make a rectangle that is twice as long as it is wide. Label the short side 4 and then long side 8. Then draw a diagonal line from the top left to the bottom right corners. The result should look like a "backslash in a box"