A garden measuring 12m by 16m is to have wide installed all the way around so that it incease the total area of `285m^(2)`. What is the width of the pathway?

A wire of length 28 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the length of the two pieces so that the combined area of the square and the circle is minimum?

A cuboid has total surface area of 40m^(2) and its lateral surface area is 26m^(2) . Find the area of its base.