SOLUTION: You are framing a rectangular print that is 10 inches wide and 34 inches long. You have a place on your wall where you want to put the framed print so you need the print and frame
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: You are framing a rectangular print that is 10 inches wide and 34 inches long. You have a place on your wall where you want to put the framed print so you need the print and frame
Log On
Question 572800: You are framing a rectangular print that is 10 inches wide and 34 inches long. You have a place on your wall where you want to put the framed print so you need the print and frame to have an area of 640 square inches. What is the uniform width of the frame so that the framed print fits perfectly in this location.
This is a write about that i got and i have no clue how to do it. Thanks for the help!! Answer by solver91311(24713) (Show Source):
Let represent the uniform width of the frame. Then if the width of the picture alone is , then the width of the framed picture must be because the frame is on both sides. Likewise, the length of the framed picture has to be
Since the area of a rectangle is the length times the width:
FOIL and collect terms:
Divide by 4
Solve the quadratic for and discard the absurd negative root. Hint: It factors. Another hint: -3 times 25 is -75 and 25 - 3 is 22.
John
My calculator said it, I believe it, that settles it
