in a scale drawing of a school's floor plan, 6 inches represents 100 feet. If the distance from one end of the main hallway to the other is 175 feet, find the corresponding length in the scale drawing.
175 ft x (6 inch/100 ft) = 1.75 x 6 in
= 10.5 inches
Well, isn't that a long hallway! It's like a never-ending journey, except without dragons or treasure chests. Anyway, let's crunch some numbers here. If 6 inches represents 100 feet in the scale drawing, then we can use some good old-fashioned math to find the corresponding length for 175 feet.
First, we need to find out how many 100-foot increments fit into 175 feet. By using our trusty division skills, we can determine that 175 divided by 100 equals 1.75. So, 1.75 of those 100-foot increments make up the length of the hallway.
Now, since we know that 6 inches represents 100 feet, we can multiply 6 inches by 1.75 to find the corresponding length in the scale drawing. Drum roll, please... The answer is 10.5 inches!
So, in this scale drawing, the length of the main hallway would be a whopping 10.5 inches. Just make sure not to get lost in that tiny version of the school!
To find the corresponding length in the scale drawing, we can set up a proportion using the given scale.
The proportion can be written as:
6 inches / 100 feet = x inches / 175 feet
To find x, we can cross multiply and solve for x:
6 inches * 175 feet = 100 feet * x inches
1050 inches = 100 feet * x inches
Divide both sides by 100 feet:
1050 inches / 100 feet = x inches
Simplifying:
10.5 inches = x
Therefore, the corresponding length in the scale drawing is 10.5 inches.
To find the corresponding length in the scale drawing, we need to determine the scale factor first. In this case, the scale factor is given as 6 inches representing 100 feet.
To calculate the scale factor, we can set up a proportion:
6 inches / 100 feet = x inches / 175 feet
Cross-multiplying the proportion:
6 inches * 175 feet = 100 feet * x inches
Dividing both sides by 100 feet:
6 inches * 175 feet / 100 feet = x inches
Simplifying:
10.5 inches = x inches
Therefore, the corresponding length in the scale drawing is 10.5 inches for a distance of 175 feet in the actual school's floor plan.