A165 inch pipe is cut into two pieces. one piece is four times the length of the other. find the length of the shorter piece. how long is the shorter piece

Length of longer length=132 inches

Length of shorter length=33 inches

Step-by-step explanation:

Step 1: Determine total length of pipe

Total length of pipe=165 inches

Step 2: Derive expression for all the lengths

We can express all these lengths as follows;

L=l1+l2

where;

L=total length

l1=length of longer piece

l2=length of shorter piece

but;

length of longer piece=4×length of shorter piece

replacing;

l1=4l2

replacing;

L=165

l1=4×l2

165=l 2+4 l2

5 l2=165

l2=165/5

l2=33 inches

l1=length of longer length=33×4=132 inches

l2=length of shorter length=33 inches

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