Question

The perimeter of rectangular filed is 82m and it's area is 400m^2.find the dimension of the field​

Answer 1

Step-by-step explanation:

Let the breadth of the rectangle be x metres,

then perimeter=82m

⇒2(Length+Breadth)=82

⇒Length+x=41

⇒Length=41−xmetres

Now, Area=400m2

⇒Length×Breadth=400⇒(41−x)x=400

⇒41x−x2=400⇒x2−41x+400=0⇒x2−25x−16x+400=0⇒(x−25)(x−16)=0

⇒x=25orx=16

Hence, breadth =25m or 16m