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.

x= ft

Step-by-step 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 cannot be negative, so we can rule out.

x= ft.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.