Question

A rectangular playground which is $250m$long and $20$m broad is to be fenced with wire. How much wire was needed?
A. $270m$
B. $230m$
C.$540m$
D. None

Answer 1

Hint: We will make a diagram with help of the given information. Further we will calculate the perimeter of rectangular playground by using the formula of :-
Perimeter of rectangle\[\; = {\text{ }}2\left[ {length + {\text{ }}breadth} \right]\]

Complete step-by-step answer:
Here, length of rectangular playground \[(L) = 250m\]
Breadth of rectangular playground \[\left[ B \right] = 20m\]
As we know that fencing is a perimeter,
So we need to calculate the perimeter of wire.
Then,
 Perimeter of wire \[ = 2\left[ {length + Breadth} \right]\]
We will substitute the value of length in the above formula, we have,
Perimeter of wire \[ = {\text{ }}2\left[ {250m + Breadth} \right]\]…..[i]
Now we will substitute the value of breadth in the equation [i] we will get
Perimeter of wire \[ = 2\left[ {250m + 20m} \right]\]
Perimeter of wire \[ = {\text{ }}540m\]
Thus, 540m of wire is needed to fence the rectangular field.
So, the correct answer is “Option C”.

Note: Students must know that fence is also called a perimeter that is why we will calculate the perimeter in the solution. It is the sum of all the sides given in a polygon.