The sides of a retangular field are in the ratio 9 : 7 and its perimeter is 144 meters find the sides
To find the lengths of the sides of a rectangular field, we can follow these steps:
Step 1: Assign variables
Let's assume the common ratio between the sides is 'x'.
So, the lengths of the sides can be represented as 9x and 7x.
Step 2: Understanding the perimeter
The perimeter of the rectangular field is the sum of all four sides.
In this case, it is given that the perimeter is 144 meters.
Step 3: Write the equation
Since the lengths of the sides are 9x and 7x, we can write the equation:
Perimeter = 2(Length + Width)
Using this equation, we can substitute the given values:
144 = 2(9x + 7x)
Step 4: Solve the equation
Simplifying the equation,
144 = 2(16x)
72 = 16x
x = 72/16
x = 4.5
Step 5: Find the lengths of the sides
Now that we have the value of 'x', we can substitute it back into the expressions for the sides:
Length = 9x = 9 * 4.5 = 40.5 meters
Width = 7x = 7 * 4.5 = 31.5 meters
Therefore, the lengths of the sides of the rectangular field are 40.5 meters and 31.5 meters.
To find the sides of the rectangular field, let's assume that the ratio between the sides is 9:7. Let the common ratio be x.
Let the length of the field be 9x, and the width of the field be 7x.
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)
Given that the perimeter is 144 meters, we can write the equation as:
144 = 2(9x + 7x)
Simplify the equation:
144 = 2(16x)
144 = 32x
Now, divide both sides of the equation by 32:
144/32 = x
4.5 = x
So, the value of x is 4.5.
To find the sides, substitute x back into the values for the length and width:
Length = 9x = 9 * 4.5 = 40.5 meters
Width = 7x = 7 * 4.5 = 31.5 meters
Therefore, the sides of the rectangular field are 40.5 meters and 31.5 meters.
Let the sides be 9x and 7x
then 2(9x) + 2(7x) = 144
continue