Question

Using a measuring scale (15cm scale), The length AB=3m and breadth BC=2m for a rectangle are found. Find the length and breadth of the given rectangle in mm.
(A). 3000,2000
(B). 300,200
(C). 3,2
(D). 30,20

Answer 1

HINT: To solve this problem, firstly we should know about conversion of units or we should know the units of, measuring length and conversion between them which will help us to understand the problem, create and imaginary fig. in our mind by which we can solve the problem logically to approach the solution. Half of the solution is within the question, firstly we should carefully read the problem and collect the given information and then use the given information to solve the problem by applying the formula required.

Complete step-by-step answer:
While measuring length, S.I Unit we use is meter
Now,
          1 m = 100 cm
          1 cm = 10mm
So,
          1 m = 1000 mm

Now, we know that 1m = 1000mm

So, length AB = 3m =$3m \times \dfrac{{1000\,mm}}{{1\,m}} = \,3000\,mm$
Also, breadth BC =2m =$2m \times \dfrac{{1000\,mm}}{{1\,m}} = 2000\,mm$
Hence the correct answer is A – $3000,\,2000$

NOTE: Conversion of units is the transformation between different units of quantification for the same quantity, typically through multiplicative conversion factors. A conversion factor is used to transform the units of a measured quantity without changing its value. The process of conversion relies on the specific situation. Some conversion from one system of units to another needs to be exact, without increasing or decreasing the precision of the first measurement. It is called soft conversion; it doesn’t involve change in physical configuration. But the hard conversion or an adaptive conversion may not be exactly equivalent.