help plz

Shontal made a scale drawing of a boarding school. The scale of the drawing was 1 centimeter : 3 meters. The actual length of a building at the school is 111 meters. How long is the building in the drawing?

Respuesta :

Answer:

The length of the building in the drawing  =  37 centimeter

Step-by-step explanation:

Here, the given scale is 1 centimeter : 3 meters

Now, the actual length of the given building is 111 meters.

Let us assume the length of the building in the drawing  =  k centimeter

So, according to the question:

k centimeters = 111 meters

Now, 1 cm  = 3 m

[tex]\implies 1 m = (\frac{1}{3})  cm\\\implies 111 m = 111 \times (\frac{1}{3})  cm  = 37 cm[/tex]

or, k = 37 cm

or, 37 cm  =  111 meters

Hence, the length of the building in the drawing  =  37 centimeter