Question

Ravi owns a plot of rectangular shapes.he has fenced it with a wire of lenght 750m.the lenght of the plot exeeds the breadth by 5m find the breadth and the lenght of the plot.

Answer 1

ANSWER WITH FULL EXPLANATION

We know that Ravi fenced his plot with a wire of length 750 m. So, the perimeter of the plot should also be 750 m. 

We do not know how much is the breadth of the plot. So, let's take the breadth to be $x$ m. 
Therefore, the length of the plot should be $(x+5)$ m. 

Now, we have $x$ m as breadth and $(x+5)$ m as length. 

Now, we know this formula: Perimeter = 2(Length  + Breadth)
We are going to use this formula to find out the dimensions, i.e., the length and breadth of the plot. 

We know the following: 
i) Perimeter = 750 m
ii) Length = $(x+5)$ m
iii) Breadth = $x$ m
We are going to substitute these values into the formula. 

Perimeter = 2(Length + Breadth)
⇒ $750 = 2[(x+5) + x]$
As you can see, an equation is formed. We have to solve this equation and find the value of $x$. 
$750 = 2[(x+5)+x]$
⇒ $750 = 2[x+5+x]$
⇒ $750 = 2[x+x+5]$
⇒ $750 = 2[2x+5]$
⇒ $750 = 4x+10$       [$2(2x+5) = 2*2x+2*5 = 4x+10$]
⇒ $750-10 = 4x+10-10$          [Subtracting 10 from both sides. ]
⇒ $740 = 4x$
⇒ $\frac{740}{4} = \frac{4x}{4}$           [Dividing both sides of the equation by 4. ]
⇒ $185 = x$
⇒ $x = 185$

Now, we know that $x=185$. Using this solution, we can find the length and breadth of the plot! See how. 
Length = $(x+5)$ m = $(185+5)$ m = 190 m
Breadth = $x$ m = 185 m

∴ The length of the plot is 190 m and the breadth of the plot is 190 m. 

Congrats ! We have found the answer. 

Hope this may help you. 

Sorry, if the answer seems too long to you. It is just so that you understand this problem very well. 

If you have any doubt, then you can ask me in the comments.