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

The answer is 70 ft.

We know that the perimeter of the screen in the library is 14 ft.

The formula for perimeter is length+width+length+width=perimeter

We are already given the length so it will be 4+w+4+w=14

4+4 equals 8 and 14-8 equals 6. We then divide 6 by 2 and we have the width.

Length: 4 ft.
Width: 3 ft.

The problem says the auditorium screen is 5 times bigger so we multiply

4 times 5 and 3 times 5

We now have 20 and 15

The problem asks for perimeter

There are four sides in a rectangle so it will be 20+15+20+15 equals 70 ft.

Answer 2

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.

Explanation: