SOLUTION: The diagonal of a rectangular room is 13 ft long. One wall measures 7 ft longer than the adjacent wall. Find the dimensions of the room.
The width of the room is?
The length of
Question 1086769: The diagonal of a rectangular room is 13 ft long. One wall measures 7 ft longer than the adjacent wall. Find the dimensions of the room.
The width of the room is?
The length of the room is? Found 2 solutions by MathLover1, josmiceli:Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!
let one wall be ,the adjacent wall , and diagonal
if the diagonal of a rectangular room is long:
One wall measures longer than the adjacent wall:
since they form right angle triangle, use Pythagorean theorem:
....solve for ...simplify
...factor
we need only positive solution:
=>
now find
The width of the room is .
The length of the room is .
You can put this solution on YOUR website! Let the shortest wall =
The longer wall =
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By looking at this I can see: ( can't use the negative solution )
and
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The width is 5 ft
The length is 12 ft
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check:
OK
