# SOLUTION: Christopher cuts a length of wire. He bends it to form a rectangle that is four times as long as it is wide. If he wants the rectangle to have an area of 100 square inches, what

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 Click here to see ALL problems on Geometry Word Problems Question 425677: Christopher cuts a length of wire. He bends it to form a rectangle that is four times as long as it is wide. If he wants the rectangle to have an area of 100 square inches, what should be the length of the original piece of wire? Found 2 solutions by josmiceli, lwsshak3:Answer by josmiceli(9697)   (Show Source): You can put this solution on YOUR website!Let the length = in. Let the width = in. given: in2 in2 The length of wire is The wire is 50 in long Answer by lwsshak3(6519)   (Show Source): You can put this solution on YOUR website!Christopher cuts a length of wire. He bends it to form a rectangle that is four times as long as it is wide. If he wants the rectangle to have an area of 100 square inches, what should be the length of the original piece of wire? .. let x=width of rectangle then 4x=length of rectangle then 2*(x+4x)=10x=length of original piece of wire. .. area of rectangle=length*width=x*4x=100 4x^2=100 x^2=100/4=25 x=5 10x=50 ans: length of original piece of wire=50 inches