On a building plan,the lenght of a 65m-long buliding is 13cm.Another building on the same plan has lenght 55mm.What is the actual length of this building?

Is this correct? 55 mm?

Yes,55mm

65/13 = x/5.5

Cross multiply and solve for x.

Thanks Ms Sue

You're welcome.

To find the actual length of the second building, we need to determine the scale factor of the building plan. The scale factor is the ratio of the lengths on the plan to the actual lengths.

Given that the length of the first building on the plan is 13cm, and its actual length is 65m, we can set up a proportion:

13cm / 65m = x / y

where x represents the length of the second building on the plan, and y represents the actual length of the second building.

Now, we need to convert the length of the second building on the plan from millimeters to centimeters to match the units of the first building.

The length of the second building on the plan is given as 55mm = 5.5cm.

Substituting the values into the proportion:

13cm / 65m = 5.5cm / y

To solve for y (the actual length of the second building), we can cross-multiply:

13cm * y = 65m * 5.5cm

y = (65m * 5.5cm) / 13cm

y = 65m * 5.5cm / 13cm

y ≈ 28.1m

Therefore, the actual length of the second building is approximately 28.1 meters.