Question

The area and perimeter of a rectangular field is 600 sqm and 10 m find the length and breadth of the field?

Answer 1

Step-by-step explanation:

Basic Knowledge: -)

Area of rectangular field with length x and breadth y is given by

Area = x \times yArea=x×y

And

Perimeter of rectangular field with length x and breadth y is given by

Perimeter = 2(x + y)Perimeter=2(x+y)

Procedure :-)

To solve this question we will put value of area and perimeter in about two relations to get two equations in x and y.

After solving these two equations we will get values of x and y which will be the required length and breadth of the rectangular field .

( but during solution we will observe that there will be no possible value of x and y for the given condition)

Solution :-)

x×y=600..(i)

and

2(x+y)=10

x+y=5

⟹y=5−x..(ii)

On putting (ii) in (i)

We get

x(5−x)=600

x² −5x+600=0

From Here

We will not get any real root.

As

(−5)² −4×1×600<0

i.e.

D<0

So,

No rectangular field can exist having area 600 sq m and perimeter 10m .

Hope it helps you be safe..!!

(✿^‿^)