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?

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let x=width of rectangle
then 4x=length of rectangle
then 2*(x+4x)=10x=length of original piece of wire.
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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