Question

A floor of a room is in the shape of square. It is to be covered with rectangular tiles that each have an area of 192 square inches.If the length of the floor is 14 feet, how many tiles are needed to cover the floor?

Answer 1

the answer is 147 first convert 14 ft. into inches 14×12=168 168×168=28225 28225÷192=147

Answer 2

find area of room
aera=legnth wtimes width
in a square, legnth=width
aera=legnth^2
legnth=14 feet
convert o inches
14*12=168 inches
area=168^2=28224 square inches

how many tiles will cover all of floor?
aka
how many 192 in^2 is at least 28224 (at least, because we need to cover the whole floor without gaps)
192x>28224
divide both sides by 192
x>147

147 is the number of tiles we need