Give the ratios of the length to breadth of a rectangle as 3:1, find the length, if the breadth is 5cm?
x/5 = 3/1
Let the length of the rectangle be k. Ratio = dimensions. 3:1. 5:k. 3/1. =5/k. 3k=1×5. 3k/3=1×5/3. =K=1×5/3. K=5/3. k=1⅔
To find the length of the rectangle, we need to apply the ratio given and use some basic algebra.
Given: Ratio of length to breadth = 3:1
Given: Breadth = 5 cm
Step 1: Write the ratio as a fraction.
Length to breadth = 3/1
Step 2: Set up a proportion using the given information.
Length/5 = 3/1
Step 3: Cross-multiply the values in the proportion.
Length * 1 = 5 * 3
Step 4: Simplify the equation.
Length = 15 cm
Therefore, the length of the rectangle is 15 cm when the breadth is 5 cm.