A square is a shape which has equal length of sides. Thus, the minimum number of rolls that Victoria should buy is 13.9.
The roof of the room has a square shape, which implies that it has equal length of sides. The perimeter of a square is given as:
Perimeter = 4l
where l is its length of sides.
Given that l = 6√2 feet, then
Perimeter = 4 x 16√2
= 64√2
The perimeter of Victoria's living room is 64√2 feet.
The diagonal of the ceiling of her living room can be determined by applying the Pythagoras theorem;
[tex]hyp^{2}[/tex] = [tex]adj 1^{2}[/tex] + [tex]adj 2^{2}[/tex]
= [tex](64\sqrt{2}) ^{2}[/tex] +
= (4096 x 2) + (4096 x 2)
= 16384
hyp = [tex]\sqrt{16384}[/tex]
= 128
The diagonal joining the opposite corners of the room is 128 feet.
Thus,
Total feet required by Victoria = (2 x 128) + 64√2
= 346.51
Total feet required by Victoria = 346.51 feet
Given that 1 roll = 25 feet, then;
[tex]\frac{346.51}{25}[/tex] = 13.8604
Thus the minimum number of rolls that Victoria should buy is 13.90.
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Answer:
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