Question

find the length and breadth of rectangular park of perimeter 80m and area 400m2​

Answer 1

Answer:

length =20m

breath= 20m

Step-by-step explanation:

given

perimeter=80m

2(l+b) = 80m

b= 40 - l

area =400m^2

lb. 400

(40-l)l . 400

40*l -l^2=400

0. =. l^2 -40^l + 400

(l-20)^2=0

length=20. hence. breath=20

Answer 2

Given,

Perimeter of the rectengular park = 80 m

let its length be l

and breadth be b

so,

2(l + b) =80

l + b = 40 ...(1)

now,

given area = 400 m²

lb = 400

l = 400/b ...(2)

from (1)

l + b = 40

400/b + b = 40

400 + b² = 40b

b² - 40b + 400 = 0

b² - 20b - 20b + 400 = 0

b(b - 20) -20(b - 20) = 0

(b - 20)(b - 20) = 0

b = 20

now,

from (2)

l = 400/b

l = 400/20

l = 20 m

so,

Length = 20m

Breadth = 20m