The area of a rectangular park is 4800 Sq me if the ratio of the length and breadth is 3:4,find its length and breadth
length = 4 x
width = 3 x
area = 12 x^2 = 4800
so
x^2 = 400
x = 20
3x = 60
4x = 80
60,80m
To find the length and breadth of the rectangular park, we can use the given information about the ratio of their lengths. Let's assign variables to the length and breadth:
Let the length be 3x.
And let the breadth be 4x.
Now we can set up an equation using the formula for the area of a rectangle:
Area = Length * Breadth
Substituting the given values into the equation:
4800 = (3x) * (4x)
Simplifying the equation:
4800 = 12x^2
Now, let's solve for x. Divide both sides of the equation by 12:
400 = x^2
Next, take the square root of both sides to isolate x:
√400 = √x^2
20 = x
Now that we have the value of x, we can find the length and breadth:
Length = 3x = 3 * 20 = 60 meters
Breadth = 4x = 4 * 20 = 80 meters
Therefore, the length of the rectangular park is 60 meters and the breadth is 80 meters.