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How many frames in all can be made from this original piece of cardboard? What is the total area of all boxes?
A more detailed question is as follows:
A framing shop uses a square piece of cardboard to create a set of square frames, one cut out from the other, with as little wasted as possible. The original piece of cardboard is 50 cm by 50cm. Each of the “nested” square frames has a border
2 cm thick. How many frames in all can be made from this original piece of cardboard? What is the total area that can be enclosed by all these frames together?
The smallest frame that can be made is 4 by 4 (since 2 x 2 won't have a hole in it...)
46/2 = 23 frames can be made.
The total area enclosed is 2 * 2 + 4 * 4 + ... + 44 * 44
= ?
Tags: from original, from original in-service date, from original masters, from original source, from original to copy and back again