Question

At an IMAX theater, the giant rectangular movie screen has a width 26 feet less than its length. If its perimeter is 332 feet, find the length and the width of the screen.

Answer 1

Length=96 feet

Width=70 feet

Explanation:

Let the length = l

The width 26 feet less than its length=l-26

Perimeter of the giant rectangular movie screen= 332 feet

Perimeter of a rectangle = 2(L+W)

332=2(l+l-26)

332=2(2l-26)

Expanding the brackets

332=4l-52

4l=332+52

4l=384

l=384/4=96

The Length of the giant rectangular movie screen is 96 feet.

The Width, W=l-26=96-26=70 feet