SOLUTION: A rectangular room is 6 meters longer than it is wide, and its perimeter is
24 meters. Find the dimension of the room.
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-> SOLUTION: A rectangular room is 6 meters longer than it is wide, and its perimeter is
24 meters. Find the dimension of the room.
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Question 1045783: A rectangular room is 6 meters longer than it is wide, and its perimeter is
24 meters. Find the dimension of the room. Found 3 solutions by ikleyn, josgarithmetic, josmiceli:Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! .
A rectangular room is 6 meters longer than it is wide, and its perimeter is
24 meters. Find the dimension of the room.
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Let W be the width of the room, in meters.
Then the length is W + 6 meters.
For the perimeter, we have this equation
(W+6) + W + (W+6) + W = 24, or
4W + 12 = 24, or 4W = 24 - 12 = 12.
Then W = = 3 m
So we found the width W = 3 meters.
Then the length is W+6 = 3+6 = 9 m.
Answer. The length is 9 m. The width is 3 m.
You can put this solution on YOUR website! Let = the width of the room in meters = the length of the room in meters
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The formula for perimeter is:
and, for this problem, and
and
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the dimensions of the room are 3 x 9
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check:
OK