Question

The perimeter of a rectangular field is 80 m and its area is 400 m2. Find the length
and breadth of the field.​

Answer 1

Answer:

Perimeter of a rectangle=2(l+b)=80m

⇒l+b=

2

80

=40m

⇒l=40−b

And lb=800m

2

⇒(40−b)b=800

⇒40b−b

2

−800=0

⇒b

2

−40b−800=0

⇒b

2

−40b+20b−800=0

⇒b(b−40)+20(b−40)=0

⇒(b−40)(b−20)=0

∴b=20m,40m

When b=20m⇒l=40−b=40−20=20m

When b=40m⇒l=40−b=40−40=0m

∴ To design a park length of 20m and breadth of 40m is required.

∴l=40m and b=20m

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

perimeter of a rectangle = 2(l+b)=80

l+b =

2

80

= 40m

l = 40-b

And lb =800m

2

(40- b)b=800