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
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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 .
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the shortest wall =
The longer wall =
----------------------------
By looking at this I can see:
( can't use the negative solution )
and
---------------------
The width is 5 ft
The length is 12 ft
------------------
check:
OK
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