On a blueprint in which 2 inches represent 5 feet, the length of a room mesure 7 1/2 inches. The actual length of the room is?

2 inces = 5 ft

7.5 inches = x feet

x= (5*7.5)/2
x =

How do you get that equation and why do u divide it by 2?

Linda set up a simple ratio

2/5 = 7.5/x
she then cross-multiplied
2x = 5(7.5)
and finally divided both sides by 2

x = 5(7.5)/2 = 18.75 ft

or

if 2 inches represent 5 ft
then 1 inch represents 5/2 ft
then 7.5 inches represents (5/2)(7.5)
which is the same calculation as above

Well, let's do some math! If 2 inches represent 5 feet, then we can set up a proportion:

2 inches : 5 feet :: 7.5 inches : x feet

To solve for x, we can cross-multiply:

2 * x = 5 * 7.5

Now, we just need to divide both sides by 2 to find x:

x = (5 * 7.5) / 2

x = 37.5 / 2

x = 18.75

So, the actual length of the room is 18.75 feet.

To find the actual length of the room, we need to use the scale ratio given in the blueprint. The scale ratio tells us how many inches on the blueprint are equivalent to a certain number of feet in reality.

In this case, the scale ratio is 2 inches represent 5 feet. So, for every 2 inches on the blueprint, there are 5 feet in reality.

To find the actual length of the room, we can set up a proportion using this scale ratio:

2 inches on blueprint / 5 feet in reality = 7.5 inches on blueprint / x feet in reality

To solve this proportion, we cross-multiply and then divide:

2 * x = 5 * 7.5
2x = 37.5
x = 37.5 / 2
x = 18.75

Therefore, the actual length of the room is 18.75 feet.