The scale of building plan is 1cm to 50cm. Represented length of the bedroom is 9.2cm, find the actual length
Answers
Answer:
460cm
Step-by-step explanation:
since for 1cm actual length is 1×50 = 50cm,
for 9.2 cm, actual length of bedroom is 9.2×50 = 460cm
For the given scale, the actual length of the bedroom will be 460 cm.
Given,
The scale of a building plan:
1 cm to 50 cm.
Represented length of the bedroom = 9.2 cm.
To find,
The actual length of the bedroom.
Solution,
The scale on a plan or a map is defined as the ratio of distance or length on the plan to the distance on the ground or the actual length of a real object.
For example, say the scale on a plan is 1 cm to x cm. It is written as
1 : x, and
then, the actual length will be 'x' times the length shown on the plan.
Here, we can see that the scale is given to be
1 cm to 50 cm.
So, from the above definition, we can say that the actual length or distance will be 50 times the length on the plan.
Given bedroom length = 9.2 cm.
Thus,
the actual length of the bedroom = 9.2 × 50
⇒ the actual length of the bedroom = 460 cm.
Therefore, for the given scale, the actual length of the bedroom will be 460 cm.
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