Pre-Calculus Homework Solutions 158

# Pre-Calculus Homework Solutions 158 - 1 h 51 24incet fe x x...

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51. 2 1 4 in fe c e h t ¬ x ¬ 24 3 4 x ¬ 18 2 1 4 in fe c e h t ¬ y ¬ 24 5 8 y ¬ 15 The living room has dimensions 18 feet by 15 feet. 52. 2 1 4 in fe c e h t x 24(1.25) x 30 2 1 4 in fe c e h t y 24 3 8 y 9 The deck has dimensions 30 feet by 9 feet. 53. The sides are in a ratio of 4 : 1, so if the length of WXYZ is x then the length of ABCD is 4 x , and if the width of WXYZ is y then the width of ABCD is 4 y . Then the areas are in a ratio of (4 x x )( y 4 y ) 16 xy xy or 16 : 1. 54. 4 1 4 1 ( ( 3 3 ) ) 1 3 2 or 4 1 . The ratio is still 4 : 1. 55. The ratio of the areas is still 16 : 1 since the ratio of the sides is still 4 : 1. 56. No; the corresponding sides are not in proportion. The ratio of the widths is 1 to 1 but the ratio of the heights is 2 to 1. 57. The widths are the same but the height of the 36% rectangle is twice the height of the 18% rectangle, so the ratio of the areas is 2 w w or 2 : 1. The ratio of the percents is 3 1 6 8 % % 0 0 . . 3 1 6 8 or 2 : 1, so the ratios are the same.
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