Question

A large rectangular movie screen in an IMAX theater has an area of 6,699 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide

Length =
Width =

Answer 1

Length=87 ft

Width=77 ft

Explanation:

Let

L ----> the length of rectangular movie screen

W ----> the width of rectangular movie screen

we know that

The area is equal to

`A=LW`

`A=6,699\ ft^(2)`

so

`6,699=LW` ----> equation A

`L=W+10` ----> equation B

substitute equation B in equation A

`6,699=(W+10)W\\ \\W^(2) +10W-6,699=0`

Solve the quadratic equation by graphing

The solution is
`W=77\ ft`

see the attached figure

Find the value of L

`L=77+10=87\ ft`