The ratio of the length and breadth of a rectangular playground is 9:5. If the breadth is 360m,find the length of the playground.
let the length be 9x and the breath be 5x
given: 5x = 360
x = ....
then find 9x
56m
To find the length of the playground, you can use the information about the ratio between the length and breadth. Here's how you can solve it step by step:
Step 1: Write down the given ratio.
The ratio of length to breadth is given as 9:5.
Step 2: Assign variables to the length and breadth.
Let's say the length is L and the breadth is B.
Step 3: Write down the values based on the given information.
We know that the breadth (B) is 360m.
Step 4: Use the ratio to form an equation.
Since the ratio of length to breadth is 9:5, we can write an equation as:
L/B = 9/5
Step 5: Substitute the known values into the equation.
Replace B with 360m in the equation:
L/360 = 9/5
Step 6: Solve the equation for L.
To solve for L, we'll cross-multiply:
L * 5 = 360 * 9
Step 7: Simplify and solve for L.
L * 5 = 3240
L = 3240 / 5
Step 8: Calculate the value of L.
L = 648
Therefore, the length of the playground is 648 meters.