Question

The length of a rectangular plot is 3 times its breadth. Inside the ploth runs a path 5m wide. If the area of the path is 500 sq.m, find the perimitre of the plot.​

Answer 1

$\underline{\mathfrak{\huge{The\:Question:}}}$

The length of a rectangular plot is 3 times its breadth. Inside the ploth runs a path 5 m wide. If the area of the path is 500 sq m, find the perimetre of the plot.​

$\underline{\mathfrak{\huge{Your\:Answer:}}}$

Let the breadth of the rectangular plot be = x

Therefore, according to your question, the length will be = 3x

Given that the width of the path = 5 m

And, the area of the path = 500 $m^{2}$

We can write that :-

Area of the path = l × b

Where, l = x

And, b = 5 m

=》 Area = 5 × x

=》 500 = 5x

=》 $\tt{x = 100 m}$

Now, 3x = 3 × 100 m

=》 3x = 300 m

The perimeter will be = 100 m + 300 m

=》 $\boxed{\tt{Perimeter = 400 m}}$

There your answer !