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Rita is a ward-member of her area; she wishes to create a community room of size 11 feet × 16 feet. To lay tiles on the floor she has four options: 1.5 feet × 1.5 feet, 2 feet × 2 feet, 2.5 feet × 2.5 feet, 3 feet × 3 feet. Which size of tile should she buy for the community room, so that she can lay tiles without cutting?

Rita is a ward-member of her area; she wishes to create a community room of size 11 feet × 16 feet. To lay tiles on the floor she has four options: 1.5 feet × 1.5 feet, 2 feet × 2 feet, 2.5 feet × 2.5 feet, 3 feet × 3 feet. Which size of tile should she buy for the community room, so that she can lay tiles without cutting? Correct Answer 2 feet × 2 feet

Given:

Area of room = 11 feet × 16 feet

Area of type 1 tile = 1.5 feet × 1.5 feet

Area of type 2 tile = 2 feet × 2 feet

Area of type 3 tile =  2.5 feet × 2.5 feet

Area of type 4 tile = 3 feet × 3 feet

Formula Used:

Number of tiles = Area of room/Area of 1 tile

Calculation:      

Area of room  = 11 feet × 16 feet = 176 sq. feet

Area of type 1 tile = 1.5 feet × 1.5 feet = 2.25 sq. feet 

⇒ Number of type 1 tiles  =  176/2.25 = 78.22 

Area of type 2 tile = 2 feet × 2 feet = 4 sq. feet 

⇒ Number of type 2 tiles  =  176/4 = 44 

Area of type 3 tile = 2.5 feet × 2.5 feet = 6.25 sq. feet 

⇒ Number of type 3 tiles  =  176/2.25 = 28.16

Area of type 4 tile = 3 feet × 3 feet = 9 sq. feet 

⇒ Number of type 4 tiles  =  176/9 = 19.55

∴ Rita should use type 2 tile

The correct option is 2 i.e. 2 feet × 2 feet

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