An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters,
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The surface area of a right cylinder is the sum of the areas of the lateral face and the circular bases. The lateral face is really just a rectangle with the same height as the cylinder and a length equal to the circumference of the circular base.
If the radius of the base is
and the height is 
, then the surface area of the cylinder is
You're given that the area is
and the radius is 
, so you have
If the radius of the base is
You're given that the area is