One formula stating the relationship between the length l and width of a rectangle of pleasing proportion is l 2 w(l w) How should a 4 foot by 8 foot sheet of plasterboard be cut so that the result is a rectangle of pleasing proportion with a width of 4 feet

Question: One formula stating the relationship between the length l and width of a rectangle of pleasing proportion is l 2 = w(l + w).

One formula stating the relationship between the length l and width ω of a rectangle of “pleasing proportion” is l² = w(l + w). How should a 4 foot by 8 foot sheet of plasterboard be cut so that the result is a rectangle of “pleasing proportion” with a width of 4 feet?

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