A Plank of Wood 6 m Long is cut in the ratio 1:5. find the length of the Longer Piece in centimetres.
x + 5x = 6
find x
then find 5x to get the longer piece.
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this questions its not solve it please help me tanku
you
To find the length of the longer piece in centimeters, we first need to determine the lengths of the shorter and longer pieces.
Given that the wood plank is 6 meters long, and it is cut in the ratio 1:5, we can set up the following equation to represent the ratio:
1x : 5x
Here, x represents an unknown value. Since we want to find the length in centimeters, we will convert meters to centimeters. There are 100 centimeters in a meter, so the equation becomes:
100(1x) : 100(5x)
Simplifying the equation, we have:
100x : 500x
Now, we need to find the value of x. Since the two parts should make up the entire length of the plank (6 meters), we can set up the following equation:
1x + 5x = 6
Simplifying, we get:
6x = 6
Dividing both sides of the equation by 6, we find:
x = 1
Now that we have the value of x, we can substitute it back into our original ratio equation to determine the lengths of the shorter and longer pieces:
Shorter piece: 1x = 1(1) = 1 meter
Longer piece: 5x = 5(1) = 5 meters
Finally, to convert the length of the longer piece from meters to centimeters, we multiply by 100:
5 meters * 100 = 500 centimeters
Therefore, the length of the longer piece is 500 centimeters.