Area of Rectangle: Find Number of Tiles Needed

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To determine the number of square tiles needed to create a single row border along the edges of a rectangular room measuring 12 feet by 16 feet, one must first understand the problem clearly. The total perimeter of the room is calculated as 2*(12 + 16), which equals 56 feet. Since each tile is 1 foot square, 56 tiles are required to complete the border. Visualizing the problem by drawing a picture can aid in comprehension and solution finding. Ultimately, the correct answer is 56 tiles.
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Homework Statement


The flour of a rectangular room has dimensions 12 feet 16 feet. How many square tiles each with side of length 1 foot are needed to make a border of single row of tiles on the floor along the edges of the room?
A 28
B 52
C 56
D 58

Homework Equations

The Attempt at a Solution


why not 1*192
what is this problem asking for.
give me a hint :)
 
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Draw a picture.
 
vela said:
Draw a picture.
any hint of the picture ?
 
You need to make some effort into understanding what the problem is asking for. It's stated pretty clearly. What does "make a border of single row of tiles on the floor along the edges of the room" mean?
 
vela said:
You need to make some effort into understanding what the problem is asking for. It's stated pretty clearly. What does "make a border of single row of tiles on the floor along the edges of the room" mean?
Thankyou so much. I got the answer the answer by drawing the picture
 
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I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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