Question 1061614
width is x
length is 2x+2
hypotenuse squared=x^2+(2x+2)^2=x^2+4x^2+8x+4
That is 5x^2+8x+4=13^2=169
or 5x^2+8x-165=0
x=(1/10)(-8+/- sqrt (64+3300); sqrt (3364)=58
x=(1/10)(50)=5, only positive root.
Therefore, the width is 5 feet, length 12 feet, and diagonal is 13 feet.  This is a well known 5-12-13 right triangle.