Blue print 2” represent 5’ room measures 7 1/2” actual length of room is?
To determine the actual length of the room, you need to use the scale to convert the measurement from the blueprint to real-life dimensions.
According to the given scale, 2 inches on the blueprint represents 5 feet in real life. Therefore, you need to set up the following proportion:
2 inches / 5 feet = 7.5 inches / x
To solve for x (the actual length of the room), cross multiply and divide:
2 inches * x = 5 feet * 7.5 inches
2x = 37.5
x = 37.5 / 2
x = 18.75
Therefore, the actual length of the room is 18.75 feet.
To find the actual length of a room, given that 2 inches on the blueprint represent 5 feet, and the room measures 7 1/2 inches on the blueprint, you can use the following steps:
Step 1: Convert the given measurement on the blueprint to feet.
Since 2 inches on the blueprint represent 5 feet, we can set up a proportion:
2 inches / 5 feet = 7 1/2 inches / x feet
Step 2: Convert the mixed number 7 1/2 inches to an improper fraction.
7 1/2 inches = (2 * 7) + 1/2 = 15/2 inches
Step 3: Solve the proportion by cross-multiplying:
2 inches * x feet = 5 feet * (15/2) inches
Step 4: Simplify and solve for x:
2x = 75/2
To further simplify the equation, we can multiply both sides by the reciprocal of 2, which is 1/2:
(1/2)(2x) = (1/2)(75/2)
x = 75/4
Thus, the actual length of the room is 75/4 feet, or 18 3/4 feet.