SOLUTION: The length of a rectangular piece of steel in a bridge is 3 meters less than double the width. The perimeter of the piece of steel is 24 meters. Find the length of the piece of ste

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Question 749022: The length of a rectangular piece of steel in a bridge is 3 meters less than double the width. The perimeter of the piece of steel is 24 meters. Find the length of the piece of steel. Find the width of the piece of steel.
Found 2 solutions by solver91311, timvanswearingen:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Width:

Length:

Perimeter:

So,

Solve for , then calculate

John

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Answer by timvanswearingen(106) About Me  (Show Source):
You can put this solution on YOUR website!
Let w represent the width. Then the length is 2w-3 (3 less than twice the width)
P=2l%2B2w
Plug in for l and w:
24=2%282w-3%29%2B2w
Distribute:
24=4w-6%2B2w
Combine like terms:
24=6w-6
Add 6 to both sides:
30=6w
Divide both sides by 6:
5=w
Now find l:
l=2w-3
l=2%285%29-3
l=7
The width is 5 meters and the length is 7 meters.