On a set of bluepints the scale is half an inch=4feet

Find the actual lengthof a room that measures 2.8 inches on the blueprint

How many half inches are in 2.8 inches? that is how many 4 feet are in the room.

Feet in Room=4* 2.8/.5

check my thinking.

Set up a proportion.

0.5 / 4 = 2.8 / x

Cross multiply.

0.5x = 4 * 2.8
0.5x = 11.2
x = 22.4

16.8*2.8=47.04/5=9.4

How can the room be only 9.4 feet, when 1 inch = 8 feet?

I set up another porportion and cross multiplied, and i got what you told me...

8ft over 1in = x over 2.8 and I crossed multiplied to get 22.4

To find the actual length of the room based on the given blueprint scale, you need to set up a proportion and solve for the unknown value.

The given scale is: 1/2 inch = 4 feet

Let's set up the proportion as follows:

(Actual Length of Room) / (Length on Blueprint) = (Scale Conversion Factor)

Let's substitute the known values into the proportion:

(Actual Length of Room) / 2.8 inches = 4 feet / 0.5 inches

To solve for the unknown value, cross-multiply:

(Actual Length of Room) = 2.8 inches * (4 feet / 0.5 inches)

Now, let's simplify the expression:

(Actual Length of Room) = 2.8 * (4 / 0.5) feet
= 2.8 * 8 feet
= 22.4 feet

Therefore, the actual length of the room is 22.4 feet based on the given blueprint scale.