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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The working out suggests first equating ## \sqrt{i} = x + iy ## and suggests that squaring and equating real and imaginary parts of both sides results in ## \sqrt{i} = \pm (1+i)/ \sqrt{2} ## Squaring both sides results in: $$ i = (x + iy)^2 $$ $$ i = x^2 + 2ixy -y^2 $$ equating real parts gives $$ x^2 - y^2 = 0 $$ $$ (x+y)(x-y) = 0 $$ $$ x = \pm y $$ equating imaginary parts gives: $$ i = 2ixy $$ $$ 2xy = 1 $$ I'm not really sure how to proceed from here.