If the length and breadth of a rectangular , field is in the ratio 9:5. If the length of the field is 54 cm . Find its breadth.
To find the breadth of the rectangular field, we'll follow these steps:
Step 1: Understand the given information.
The length of the field is 54 cm.
The length and breadth ratio is 9:5.
Step 2: Set up the ratio equation.
Let's assume the length of the field is 9x and the breadth is 5x.
According to the given ratio: length/breadth = 9/5
Step 3: Solve the equation.
Given that the length of the field is 54 cm:
9x = 54
Step 4: Calculate the value of x.
Divide both sides of the equation by 9:
x = 54/9 = 6
Step 5: Calculate the breadth of the field.
Substitute the value of x back into the equation for breadth:
Breadth = 5x = 5 * 6 = 30 cm
So, the breadth of the rectangular field is 30 cm.
To find the breadth of the rectangular field, we can use the given ratio of length to breadth and the given length of the field.
The ratio of length to breadth is given as 9:5. This means that for every 9 units of length, there are 5 units of breadth.
Given that the length of the field is 54 cm, we can set up a proportion to find the breadth:
Length/Width = Ratio of length to breadth
54 cm / Width = 9/5
To solve this proportion, we can cross multiply:
54 cm x 5 = 9 x Width
270 cm = 9 x Width
Now, we can solve for the width by dividing both sides of the equation by 9:
Width = 270 cm / 9
Width = 30 cm
Therefore, the breadth of the rectangular field is 30 cm.
54 = 9*6, so just multiply the ratio by 6 to get
9:5 = 54:30