56 inch board is cut into 3 pieces so that the second piece is twice as long as the first piece and the third piece is 4 times as long. what the length of all 3 pieces

First piece=8 inches

Second piece=16 inches

Third piece=32 inches

Step-by-step explanation:

Let the length of all the pieces be;

First piece=x

Second piece= twice as long as first piece=2x

Third piece=four times as long as first piece=4x

Total length=56 inches

Total Length=Length of first piece+length of second piece+length of third piece

Replacing;

56=x+2x+4x

7x=56

x=(56/7)=8

Replacing value for x in;

First piece=x=8 inches

Second piece=2x=(2×8)=16 inches

Third piece=4x=(4×8)=32 inches

2

step-by-step explanation: