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<u>></u>28224
divide both sides by 192
x<u>></u>147
147 is the number of tiles we need
Set the height to h, and the width to w.
We know that wh=190 and h=2w-1.
Substituting 2w-1 for h, we have:
w(2w-1)=190
So:
2w^2-w-190=0
Factoring this equation, we get (2w+19)(w-10)=0. The solutions to this equation are -9.5 and 10, but clearly the width must be positive, Substituting 10 for the width, we get 10*2-1=19 for the height.
Hope this will help u....
