Maths Olympiad Prep

Library / CEMC Pascal /553 of 603

CEMC Pascal, 2008

Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

Four pieces of lumber are placed in parallel positions, as shown, perpendicular to line MM:

• Piece WW is 5 m long
• Piece XX is 3 m long and its left end is 3 m from line MM
• Piece YY is 5 m long and is 2 m from line MM
• Piece ZZ is 4 m long and is 1.5 m from line MM

A single cut, perpendicular to the pieces of lumber, is made along the dotted line LL. The total length of lumber on each side of LL is the same. What is the length, in metres, of the part of piece WW to the left of the cut?

(A) 4.254.25 (B) 3.53.5 (C) 3.253.25 (D) 3.753.75 (E) 4.04.0

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