Question

The perimeter of a rectangular field is 82 meters and area is 400 sq.m, The breadth of the field​

Answer 1

Answer:

Ans

Let the breadth of the rectangle be x metres,

then perimeter=82m

⇒2(Length+Breadth)=82

⇒Length+x=41

⇒Length=41−xmetres

Now, Area=400m

2

⇒Length×Breadth=400⇒(41−x)x=400

⇒41x−x 2

=400⇒x 2

−41x+400=0⇒x 2

−25x−16x+400=0⇒(x−25)(x−16)=0

⇒x=25orx=16

Hence, breadth =25m or 16m

Step-by-step explanation:

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Answer 2

Answer:

Perimeter = 82 meters

2(length + breadth) = 82

(length + x) = 41

length = 41 - x

And area of the rectangle

length x bradth = 400

(41 - x)x = 400

41x - x2 = 400

x2 - 41x + 400 = 0

x2 - 25x - 16x + 400 = 0

x(x - 25) -16(x - 25) = 0

(x - 25)(x - 16) = 0

or

x - 16 = 0

x = 16

Since perimeter is 82 meter. So breadth can’t be 25 meter.

Hence, breadth 16 meters.

Step-by-step explanation:

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