On the blueprint of a house,

24
millimeters represents
5
meters. The length of the living room is
30
millimeters on the blueprint. What is the actual length of the living room?

To find the actual length of the living room, we need to use the given scale on the blueprint. The scale given is 24 millimeters represents 5 meters.

Since the length of the living room on the blueprint is 30 millimeters, we can set up a proportion to find the actual length:

24 millimeters / 5 meters = 30 millimeters / x meters

To solve for x (the actual length of the living room), we can cross-multiply:

24 millimeters * x meters = 5 meters * 30 millimeters

Now we can solve for x by dividing both sides of the equation by 24 millimeters:

x meters = (5 meters * 30 millimeters) / 24 millimeters

The millimeters cancel out, leaving us with:

x meters = 5 * 30 / 24

Calculating this expression gives us:

x meters = 150 / 24

Simplifying further:

x meters = 6.25 meters

Therefore, the actual length of the living room is 6.25 meters.

24 / 5 m = 30 / x m

24 x = 150