Question

The area of a rectangular field is 1440 sq. metres
and perimeter is 152 metres. find Out of length or breadth which one
is to be decreased by what percentage to make it a square?​

Answer 1

Answer:

If Length is decreased by 10% then it would become a square.

Step-by-step explanation:

Given:

Area of Rectangular field = 1440 sq. m

Perimeter = 152 m.

We need to find which one needs to be decreased by what percentage to make it a square.

Solution:

Let length be denoted by 'l'.

Also Let width be denoted by 'w'.

Now we know that Area of rectangular field is given by Length times width.

framing in equation form we get;

Also we know that Perimeter of rectangular field is given by 2 times sum of  Length and width.

framing in equation form we get;

Now Substituting equation 2 in equation 1 we get;

Now we will find the root by factorizing the same we get;

Now solving for each to find the value of 'w' we get;

So We can say that;

Width = 36 m and Length = 40 m

Now we need to find out of length or breadth which one is to be decreased by what percentage to make it a square.