Question

The ratio of the length and breadth of a football ground is 3 : 2. Find the length, if the breadth is 28 m.

Answer 1

Hint: Here we have the ratio of the length and breadth of the field, we assume the value of length as 3x and breadth as 2x, we equate the value of breadth with 2x and we get the value of x and then length.

Complete step-by-step answer:
Here, we have to find the length of a football ground.
We have the ratio of length and breadth of the football ground which is \[3:2\].
i.e., (length of the football ground): (breadth of the football ground) = 3: 2
Now, we let the length of the football ground is 3x and the breadth of the football ground is 2x.
Here, also given that the breadth of the football ground is 28 m.
i.e., \[2x = 28\]m
\[ \Rightarrow x = 14\]m
Therefore, the length of the football ground is 3x i.e. \[\left( {3 \times 14} \right)m = 42m\]

Note: Here the concept of ratios is used, when two numbers are in ratio say \[{\text{a:b}}\], then the GCD of a and b is always 1.
This question can have different given values for example, perimeter could be given then we substitute the value of length and breadth in the equation of perimeter and get the required dimensions.