Question

a square kitchen floor can be exactly covered withe square tiles that are either 9 inches or 15 inches on a side. what is the minimym area in square feet that the kitchen can have? how many of each size tile would be needed to cover the minimum size floor?

Answer 1

minimum area for square is either 9*9= 81 or 15*15=225. 81 is less so 81 sq. inches

each tile has a side length of 9 inches and you'd have a box of nine rows and nine columns of tiles like this

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so each end has nine tiles * 9 inches per tile, so that's 81 inches of tile on each side, 4 sides total so you get 81 times 4 is equal to 324 in of tile (perimeter)

Answer 2

thank you mary