Answer:
180 ft
Step-by-step explanation:
We are working to find the perimeter here. Let x represent the length of the room.
We know that the formula to find the perimeter of something is 2L + 2W = P. Here, we know the required perimeter and the width of the room.
Our equation is now: 2x + 2(70) = 500
Now we have to find x, we'll start by multiplying 70 by 2.
2x + 140 = 500
Now we can solve for x:
Subtract 140 from both sides
2x = 360
x = 180
The length of this room is 180 ft.
2(180) + 140 = 500
360 + 140 = 500
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