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AaronAndyson
 one year ago
The floor of a hall is paved with 150 square tiles of a certain size.If each side of the title were 4 cm longer,it would take only 54 tiles.Find the length of each tile.
AaronAndyson
 one year ago
The floor of a hall is paved with 150 square tiles of a certain size.If each side of the title were 4 cm longer,it would take only 54 tiles.Find the length of each tile.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0let length of each tile be x then area will be x^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thus according to condition (x+4)^2 would be the area of the new tiles

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0*sighs * i am framing the equation u do the calculation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0just solve 150x^2 = 54(x+4)^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x = 6 https://www.wolframalpha.com/input/?i=150x%5E2+%3D+54%28x%2B4%29%5E2

AaronAndyson
 one year ago
Best ResponseYou've already chosen the best response.0Can you explain how?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437212473800:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Multiply the number of tiles by the area each tile would take. Moving on to the second portion of the question. `if each side of the tile were 4 cm longer` That means we're now increasing the original area of each tile by 4 units. Then we multiply the number of tiles by the new area.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\# \cdot A = \#_2 \cdot A_2\]\[150x^2= 54(x+4)^2\] Now we can easily solve for x, which is the side length of one of the tiles.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hope that makes things clearer.

AaronAndyson
 one year ago
Best ResponseYou've already chosen the best response.0WHat to do to RHS?

phi
 one year ago
Best ResponseYou've already chosen the best response.0*** 150x^2 = 54(x+4)^2 how to solve? *** I would first divide both sides by 54 and simplify 150/54 divide top and bottom by 6 and you get 25/9 = 5^2 / 3^2 and the problem is \[ \frac{5^2}{3^2} x^2 = (x+4)^2 \] take the square root of both sides you get \[ \frac{5}{3} x = x+4 \\ \frac{5}{3} x  x=4 \\ \frac{2}{3} x = 4\] and you will get x=6

phi
 one year ago
Best ResponseYou've already chosen the best response.0you do this \[\sqrt{ \frac{5^2}{3^2} x^2} = \sqrt{(x+4)^2} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.0and gives you \[ \frac{5}{3} x = x+4 \] to solve, add x to both sides \[ \frac{5}{3} x x = xx+4 \\ \frac{5}{3} x  x=4 \] to simplify the left side, multiply the 2nd x by 3/3 (to get a common denominator) \[ \frac{5x}{3}  \frac{3x}{3}=4 \\ \frac{5x3x}{3}= 4\] 5 x's take away 3 x's leaves 2 x's \[ \frac{2x}{3}= 4\]

phi
 one year ago
Best ResponseYou've already chosen the best response.0to find x, multiply both sides by 3/2, like this \[ \frac{3}{2} \cdot \frac{2}{3} x = \frac{3}{2} \cdot 4 \] notice 3/2 * 2/3 on the left side simplifies to 1 and you get 1x or just x on the left side the right side becomes 6 x=6
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