The rectangular projection screen in the school auditorium is 5 times as long and 5 times as wide as the rectangular screen in the 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

Library: length 4, width 3 = 4(2)+3(2)=14

Take the length and width and multiply them by 5.

4*5=20 and 3*5=15

20(2)+15(2)= 70

The perimeter of the auditorium screen is 70.

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wifilethbridge wifilethbridge · Answer 2 · 2019-12-02T05:48:14+01:00

Answer:

The perimeter of the screen in the auditorium is 70 feet .

Step-by-step explanation:

Length of screen in library = 4 feet

Perimeter of screen in library = 2(l+b)=2(4+b)

We are given that the Perimeter of screen in library is 14 feet

So, [tex]2(4+b)=14[/tex]

[tex]4+b=7[/tex]

[tex]b=3[/tex]

Width of screen in library = 3 feet

The rectangular projection screen in the school auditorium is 5 times as long as the rectangular screen in the library.

So, Length of screen in auditorium = [tex]5 \times 4 = 20 feet[/tex]

The rectangular projection screen in the school auditorium is 5 times as wide as the rectangular screen in the library.

So, Width of screen in auditorium = [tex]5 \times 3 = 15 feet[/tex]

Perimeter of the screen in the auditorium = 2(l+b)=2(20+15)= 70

Hence the perimeter of the screen in the auditorium is 70 feet .