SOLUTION: A piece of wire is 8 inches long. The wire is cut into two pieces and then each piece is bent into s square. Find the length of each piece if the sum of the areas of these squares
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Question 404117: A piece of wire is 8 inches long. The wire is cut into two pieces and then each piece is bent into s square. Find the length of each piece if the sum of the areas of these squares is to be 2 square inches.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The wire is cut into
(a) 4 lengths all the same length
(b) 4 more lengths all the same length
Let = length in inches of each length in (a)
Let = length in inches of each length in (b)
-------------
given:
(1) in
(2) in2
---------------------
from (1):
Square both sides
Substitute this in (2):
and, substituting in (1):
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