Question

Area and perimeter of a rectangular field are 2000 sq.m and 180 m respectively. Find it’s length and width

Answer 1

Answer:50, 40

Step-by-step explanation:

area l*b = 2000,  

perimeter 2(l+b) = 180

l+b = 90 (equation 1)

(l+b)^2 - (l-b)^2 = 4*l*b

by putting the values

8100 - (l-b)^2 = 8000

(l-b)^2 = 100

l-b = 10    (equation 2)

on solving equation 1 and 2

l=50

b=40

Answer 2

Answer:

l=50 ,b=40

Step-by-step explanation:

area l*b = 2000,  

perimeter 2(l+b) = 180

l+b = 90 (equation 1)

(l+b)^2 - (l-b)^2 = 4*l*b

by putting the values

8100 - (l-b)^2 = 8000

(l-b)^2 = 100

l-b = 10    (equation 2)

on solving equation 1 and 2

l=50

b=40