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NewKidnewlessons
31.10.2019 •
Mathematics
What is x and y if i don't know either
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Ответ:
Step-by-step explanation:
Be more specific, X can be a variable, or they can be coordinates, visa versa.
Ответ:
165 ft
Step-by-step Explanation:
==>Given:
Quadrilateral ABCD (scaled-down model of walkway) ~ Quadrilateral EFGH (walkway)
EF = 60ft
AB = 4 in
BC = 2 in
CD = 2 in
DA = 3 in
==>Required:
Total length (Perimeter) of actual walkway.
==>Solution:
Since ABCD ~ EFGH, the ratio of their corresponding sides would be the same.
Thus, it means, EF/AB = FG/BC = GH/CD = HE/DA
Since, we know the length of one side of Quadrilateral EFGH, we can find the scale factor, which we would use in solving for the perimeter of Quadrilateral EFGH.
EF = 60 ft
AB = 4 in
EF/AB = scale factor
Note: 60 ft should be converted to inches. Both corresponding side must be in the same unit if we are to set their ratio.
1 ft = 12 in
Therefore, 60 ft = 60 × 12 = 720 in = EF
720/4 = 180
The scale factor = 180.
Calculate the total length of Quadrilateral ABCD
Perimeter/total length = AB + BC + CD + DA
= 4 + 2 + 2 + 3
= 11 inches
Find the total length of Quadrilateral EFGH by multiplying the perimeter of ABCD (11 inches) by the scale factor we got (180)
Perimeter of EFGH = 11 × 180 = 1,980 inches
Convert the total length to ft
12 in = 1 ft
1,980 in = 1,980/12 = 165 ft
Total length of of the actual walkway (EFGH) = 165 ft