Question

the area of the rectangular land is 200 sq m and peremetre of its is 180 cm calucate the length and breaght of the rectangular land?​

Answer 1

Appropriate Question :

• The area of the rectangular land is 2000 sq m and perimeter of its is 180 cm calucate the length and breadth of the rectangular land?

Answer :

• Length of rectangular land = 50m or 40m
• Breadth of rectangular land = 40m or 50m

Given :

• The area of the rectangular land is 2000 sq m
• Perimeter of its is 180m

To find :

• Length and breadth of the rectangular land

Solution :

To calculate the length and breadth of the rectangular land we need to find the formula of perimeter of rectangle

• Let the length be l
• Let the breadth be b

Given, The area of rectangular land is 2000 m² so,

• l × b = 2000
• l = 2000/b

And also Given , perimeter is 180

We know that,

• Perimeter of rectangle = 2(l + b)

➞ Perimeter of rectangle = 2(l + b)

➞ 180 = 2(l + b)

➞ l + b = 180/2

➞ l + b = 90

➞ 2000/b + b = 90

➞ b² - 90b + 2000 = 0

➞ b² - 40b - 50b + 2000 = 0

➞ b(b - 40) - 50(b - 50) = 0

➞ b = 40 or 50 m

➞ l = 50 or 40 m

Hence,

• Length of rectangular land = 50m or 40m
• Breadth of rectangular land = 40m or 50m