Sophina bought 3 yards of trim to put around a rectangular scarf. She wants the width of the scarf to be a whole number that is at least 6 inches and at most 12 inches. If she uses all the trim, what are the possibles dimensions of her scarf? Write your answer in inches.
2 answers:
1 yard = 36 inches 3 yards = 36 x 3 = 108 inches When width = 6, Length = [108 - 2(6) ] ÷ 2 = 48 When width = 7, Length = [108 - 2(7) ] ÷ 2 = 47 When width = 8, Length = [108 - 2(8) ] ÷ 2 = 46 When width - 9, Length = [108 = 2(9) ] ÷ 2 = 45 When width - 10 Length = [108 = 2(10) ] ÷ 2 = 44 When width - 11, Length = [108 = 2(11) ] ÷ 2 = 43 When width - 12, Length = [108 = 2(12) ] ÷ 2 = 42 ------------------------------------------------------------------------------------------------- Answer: The possible dimensions are (a) 6 by 48, (b) 7 by 47 ,(c) 8 by 46, (d)9 by 45, (e) 10 by 44, (f) 11 by 43 and (g) 12 by 42. -------------------------------------------------------------------------------------------------
3 yards = 36*3 = 108 inches -> total of width and length = 108/2 = 54 inches, because perimeter = 2*total of length and width. => length + width = 54 inches and 6 ≤ width <span>≤ 12 => all possible dimensions are: 6x48 7x47 8x46 9x45 10x44 11x43 12x42</span>
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Step-by-step explanation:
Solution :
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -1 y_1= 5
m= the slope is : (YC - YA)/(XC -XA)
(-1-2)/(0-3) = -3/-3 =1
( parallel to AC means same slope)
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Step-by-step explanation:
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