Respuesta :

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