Question

You have a poster that is 5 feet by 3 feet. You want to put a

frame, with a uniform width, around the picture. The poster
and the frame must have an area of 24 square feet. Find
the width of the frame.
The frame will be 3
units wide.

Answer 1

x=
`(1)/(2)` ft

Explanation:

Please see the attached image

(5+2x)(3+2x)=24 - solve for x

15+10x+6x+4x^2=24

4x^2+16x+15=24

4x^2+16x-9=0

Use quadratic formula

`x=(1)/(2) , x=-(9)/(2)`

x cannot be negative, so we can rule
`-(9)/(2)` out.

x=
`(1)/(2)` ft.