Question

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

Answer 1

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.

Answer 2

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, $2(4+b)=14$

$4+b=7$

$b=3$

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 = $5 \times 4 = 20 feet$

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  = $5 \times 3 = 15 feet$

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 .