a line segment of length 84 CM has been divided into two parts in the ratio 4:3 .find the length of each part.
Answers
The length of one part is 48cm, and another is 36cm.
Given,
A line segment of length 84 CM has been divided into two parts in the ratio of 4:3.
To Find,
The length of each part.
Solution,
Before solving the question, let's understand the concept of ratio.
Ratio:- Essentially, the ratio indicates how much of one quantity is present in the other quantity based on a comparison between two quantities of the same units.
The ratio is denoted by ':' between the two quantities.
The ratio of two numbers can be written as a fraction.
Now, let's solve the question.
Let the length of one unit be 'x.'
So,
The ratio will be 4x and 3x.
Equation formed will be 4x+3x = 84.
Now, we will find the value of x using the above equation,
⇒ 4x+3x = 84
⇒ 7x = 84
on dividing, we get the value of x.
x = 12cm.
Now, we will put the value of x in 4x and 3x to find the length of each part.
⇒4x = 4 × 12 = 48cm.
⇒3x = 3 × 12 = 36cm.
The length of one part is 48cm, and another is 36cm.
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