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Call the shorter piece 'x'.

The longer piece is (3x+1), you said so yourself.

They add up to 21 feet. (You said "together"; I have to assume that means "end-to-end".)

x + (3x + 1) = 21

x + 3x + 1 = 21

4x + 1 = 21

4x = 20

x = 5

3x + 1 = 16

The lengths of the pieces are 5-ft and 16-ft.

================================

Check:

Is (5 + 16) = 21 ?
Yes.

Is (16) = (3 x 5) + 1 ?
Yes.

Yay !

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15y ago

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