A floor of a large hall is in the shape of a rectangle. It is to be covered with square tiles that each have an area of 16 square feet. If the length of the floor is 52 yards and width is 40 yards, how many tiles are needed to cover the floor?

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RoyRoberto RoyRoberto

04-03-2016
Mathematics

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A floor of a large hall is in the shape of a rectangle. It is to be covered with square tiles that each have an area of 16 square feet. If the length of the floor is 52 yards and width is 40 yards, how many tiles are needed to cover the floor?

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olemakpadu olemakpadu · Answer 1 · 2016-03-04T14:01:13+01:00

Area of square tiles = 16 ft²

Area of rectangular floor = 52 yards * 40 yards = 2080 yards²

Number of square tiles needed = Area of Rectangular floor / Area of square tiles

3feet = 1 yard

   Number = 2080 yards² / 16 ft²

   = 2080 * (3 ft)² / 16 ft²             having substituted

   = 2080 * 3² ft² / 16 ft²

=    (2080 *9) / 16

   = 1170

So 1170 tiles are needed.