In the figure bellow it is represented the outline of a rectangular room with an area of 48 square meters. We note ABCD this rectangle.It is known that the width is three quarters (¾ ) of the length of the room.
Inside the room is a fireplace (a stove), represented in the figure by the square MNPD with the one meter side.In the room it is installed hardwood floor except shaded area MNPD where is the stove.
a) find the length of the room;
b) knowing that losses represent 10% of the floor area that will be covered with parquet flooring, show that it is enough to buy 51.7 square meter of needed parquet flooring,
c) the parquet flooring is sold in packs each containing 2,5 square meters of parquet flooring. The price of each box with parquet flooring is 43 $. Find the minimum amount of money required to purchase needed parquet flooring.