SOLUTION: Alice wants to buy a mat for a photograph that measures 14 in. by 20 in. She wants to have an even border around the picture when it is mounted on the mat. If the area of the mat s

Question 48259: Alice wants to buy a mat for a photograph that measures 14 in. by 20 in. She wants to have an even border around the picture when it is mounted on the mat. If the area of the mat she chooses is 352 in.squared, how wide will the border be?
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
(20+2X)(14+2X)=352 OR 280+28X+40X+4X~2=352 OR 4X~2+68X-72 OR X~2+17X-18=0 OR
(X-1)(X+18)=0 OR X=1 & X=-18 SO THE MAT IS 22 BY 16 = 352 IN~2 THUS THE BORDER IS 1/2 THE INCREASE DIMENTIONS 22-20=2*1/2 OR 2*1/2=1 IN.
RELATED QUESTIONS
it's a word problem. Nancy wants to buy a mat for a photographtaht measures 14 in by... (answered by scott8148)

Brady wants to buy a rug for a room that is 10 ft wide and 15 ft long. He wants to leave... (answered by josmiceli)

Cindy has an 11'' by 14'' photograph that she wishes to frame. She wantsmatting of width... (answered by KMST)

Tee-jay has a photo that measures 10cm by 15cm. He want to fix it to a mat, so that there (answered by josgarithmetic)

A photograph is enlarged to 20cm by 30cm and framed. The frame is to include a border... (answered by ankor@dixie-net.com)

“Janeel has a 10” x 12” photograph. She wants to scan the photograph, then reduce... (answered by ikleyn)

A picture 9 inches by 21 inches is to be mounted on a piece of mat board so that there is (answered by josmiceli)

A caf� owner is designing a new menu and wants to include a decorative border around the... (answered by josgarithmetic)

I have a word problem that I need to solve for school and I don't know how to set this... (answered by solver91311)