Question

A building supply store is selling tiles with an area of 790cm. a) Is it possible to have square tiles whose area is not a square number? Explain. b)Find the length of each side of the tile to 3 sig figures. c)What is the minimum number of tiles you would need to tile a rectangular floor 3.6m long and 2.4m wide?

Answer 1

Answer:

For example

Step-by-step explanation:

$We first need to calculate HCF of the dimensions of the floor.\\8m70cm=870cm and 6m38cm=638cm\\Finding HCF of 870;638, we have\\Prime Factorisation of 870=2×3×5×29\\638=2×11×29We then choose each common prime number with the least power and \\multiply them to get the HCF.\\=>HCF=2×29=58\\So the dimensions of each square till be 58cm\\Now, least number of square tiles required = \\Areaofeachtile / Areaofthefloor​ = \\\\58X58 / 870X638\\​ = 165$