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A 56-foot piece of siding is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is four times as long as the first plece. If x
represents the length of the first plece, find the lengths of all three pieces.
The length of the first piece of siding is
long, the length of the second piece is
long, and the length of the third piece is
long.



Answer :

The lengths of the first, second and third piece are respectively 8 ft, 16 ft and 32 ft

How to solve Algebra word Problems?

Let the length of the first piece be x.

Let the length of the second piece be 2x

Let the length of the thrid piece be 4x

Since the total length of the piece is 56 ft, then we can say that;

x + 2x + 4x = 56

7x = 56

x = 56/7

x = 8 ft

Thus, length of first piece = 8 ft

Length of second piece = 2 * 8 = 16 ft

Length of third piece = 4 * 8 = 32 ft

Thus, the lengths of the first, second and third piece are respectively 8 ft, 16 ft and 32 ft

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