Rectangular ABCD is similar to rectangular EFGH. The length of each side of rectangle EFGH is 24 times the length of corresponding side of rectangle ABCD.The perameter of rectangular ABCD is 120 feet.What is the parameter of rectangular paramaeter EFGH?
Created: 6 years ago |
Updated: 1 year ago
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If rectangle EFGH is similar to rectangle ABCD, then the corresponding sides are proportional. Let the length and width of rectangle ABCD be x and y, respectively. Then, the length and width of rectangle EFGH are 24x and 24y, respectively.
The perimeter of rectangle ABCD is 2(x + y) = 120. Simplifying this equation, we get:
x + y = 60
The perimeter of rectangle EFGH is 2(24x + 24y) = 48(x + y). Substituting x + y = 60, we get:
Perimeter of EFGH = 48(x + y) = 48(60) = 2880 feet
Therefore, the parameter of rectangular parameter EFGH is 2880 feet.
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Created: 6 years ago |
Updated: 1 year ago
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