Question

the length of a rectangular field is 3 m greater then it's breadth if the area of the field is numerically equal to its perimeter then it's area will be​

Answer 1

Answer:

The answer is: 18 m²

Step-by-step explanation:

So, we will take length to be 'l' and breadth to be 'b',

ATQ,

l=b+3

So,

l(l+3) = 2(l+l+3)

l² + 3l = 4l + 6

l² - l - 6 = 0

l² - 3l + 2l - 6 = 0

l(l-3) + 2(l-3) = 0

l=3 or l=-2

Since length or breadth cannot be negative,

l = 3

⇒ breadth = 3

⇒ length = 6

Area = 6*3 = 18 m²