a rod was cut into three pieces the length of the three pieces are in the ratio 5:3:2nd the shortest is 25cm long how long was the rod
Answers
The rod is 125 cm long.
Step-by-step explanation:
Let the ratio be 5x:3x:2x
Shortest piece measures 25 cm, i.e., 2x
So,
2x=25
x=25/2
x=12.5 cm
Now, 5x= 12.5×5 = 62.5 cm
3x= 12.5×3 = 37.5 cm
2x= 12.5×2 = 25.0 cm
Hence, total length of the rod =
= 62.5+37.5+25.0 cm
= 125.0 cm
Given:
The ratio of the length of the three pieces=5:3:2
Length of the shortest piece=25cm
To find:
The length of the rod
Solution:
The length of the rod is 125 cm.
We can find the length by following the given process-
We know that the rod is divided into three parts in a specific ratio.
Let the length of the rod be X.
The ratio of the three pieces of rod=5:3:2
So, the length of the 3 pieces is 5X/10, 3X/10, and 2X/10.
We also know that the length of the shortest piece is 25 cm.
The shortest piece will be the one with the smallest part in the ratio.
The length of the shortest piece=2X/10
2X/10=25
On solving, we get
2X=250
X=250/2
X=125
Therefore, the length of the rod is 125cm.