1.
A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the
building, the height is 25 centimeters.
What is the length of the building on the scale drawing in centimeters?
2.
HELP ME PLZZZ

Respuesta :

Answer:

  • 16 cm

Step-by-step explanation:

Use ratios to solve:

  • 125 m ⇒ 25 cm
  • 80 m ⇒ x cm

Find the value of x:

  • x = 80*25/125 = 16

The length of the building on the scale drawing for the given context is obtained as: 16 cm.

How are scale drawings formed?

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For the given case, The height of the building 125 meters was drawn as 25 cm in the scale drawing.

That means:

[tex]\rm 125 \: m : 25 \: cm\\\\1 \: m : \dfrac{25}{125} \: cm\\\\1 \: m :\dfrac{1}{5} \: \rm cm[/tex]

Since the length of the building in reality is 80 meters.

Thus, in scale drawing, it would become:

[tex]\rm 80 \: m = 80 \times 1 \: m : 80 \times \dfrac{1}{5} \: cm = 16 \: \rm cm[/tex]

Thus, The length of the building on the scale drawing for the given context is obtained as being of 16 cm.

Learn more about scale drawing here:

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