Final answer:
The width of the room is 4 meters and the length is 6.8 meters.
Step-by-step explanation:
Let's represent the width of the room as x meters.
According to the problem, the length of the room is 1.7 times the width. So the length would be 1.7x meters.
The perimeter of a rectangle is given by the formula: P = 2(length + width). Substituting the given values, we get:
26 = 2(1.7x + x)
Simplifying the equation, we have:
26 = 2(2.7x)
Dividing both sides by 2.7, we get:
x = 4
So, the width of the room is 4 meters and the length is 1.7 times the width, which is 6.8 meters.
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