a rectangular room on a blueprints is 2 inches wide and 5 inches longif the scale of the blueprints to the actual room is 1:72,what is the width of the room?
72 * 2 = 144 inches = 12 feet
To find the actual width of the room using the scale of the blueprints, we can set up the following equation:
Blueprint Width / Actual Width = Blueprint Scale / Actual Scale
Let's substitute the given values into the equation:
2 inches / Actual Width = 1 / 72
To isolate the Actual Width, we can multiply both sides of the equation by the Actual Width:
2 inches = (Actual Width) / 72
To solve for the Actual Width, we need to get rid of the denominator by multiplying both sides of the equation by 72:
2 inches * 72 = Actual Width
Simplifying the equation, we get:
144 inches = Actual Width
Therefore, the actual width of the room is 144 inches.
To find the width of the actual room, you need to use the scale factor provided in the problem. The scale of the blueprints to the actual room is stated as 1:72. This means that for every 1 inch on the blueprint, it corresponds to 72 inches in the actual room.
Given that the width on the blueprint is 2 inches, we can find the width of the actual room by multiplying the width on the blueprint by the scale factor:
Width of the actual room = Width on the blueprint × Scale factor
Width of the actual room = 2 inches × 72
Calculating this, we get:
Width of the actual room = 144 inches
Therefore, the width of the room is 144 inches.