The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in te library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium?

Question

Mathematics

Chaim

6 April, 05:11

The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in te library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the screen in the auditorium?

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London David · Answer 1

Library: width=3 feet and length=4 feet ([3x2]+[4x2]=6+8=14). This means that the screen in the auditorium has a width of 15 feet (3x5=15) and a length of 20 feet (4x5=20). So the perimeter of the screen = (15x2) + (20x2) = 30+40=70. The perimeter of the screen in the auditorium is 70 feet.