SOLUTION: I need to come up with an equation (I am in algebra) and then compute the following: The length of a rectangular table top is 8 feet shorter than 5 times the width. If the area

Question 21574: I need to come up with an equation (I am in algebra) and then compute the following:
The length of a rectangular table top is 8 feet shorter than 5 times the width. If the area of the table top is 48 square feet, find the dimensions of the table? I am so confused. Can someone help!!
Found 2 solutions by Paul, Earlsdon:
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
Look under problem NO. 10320 it is already solved
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the length of the table top be L and its width W.
L = 5W-8
The area of a rectangle is:
Substitute L = 5W-8

But A = 48 sq.ft.
Subtract 48 from both sides.
Solve by factoring.
Apply the zero product principle.
and/or
If and Discard this solution as the width can only be positive.
If then,
The width is 4 feet.
The length, L, is 5(4)-8 = 20 - 8 = 12 feet.
Check:
A = L*W
A = 12*4
A = 48 sq.ft.
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