SOLUTION: A picture 16 inches by 20 inches is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the border be if the area of t

Algebra.Com
Question 890629: A picture 16 inches by 20 inches is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the border be if the area of the border is 352 square inches?
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The combined area of picture with border using some unknown width w, is
total area, .

The difference between total area and picture area must be 352 square inches:
.

The simplest first simplification is eliminate a factor of 4:

and then




You can finish the arithmetic.

RELATED QUESTIONS

A picture 16 inches by 25 inches is to be mounted on a piece of matboard so that there... (answered by josmiceli)
A picture 11 inches by 15 inches is to be mounted on a piece of matboard so that there is (answered by ankor@dixie-net.com)
A picture 11 inches by 15 inches is to be mounted on a piece of matboard so that there is (answered by nerdybill)
A picture 10 inches by 19 inches is to be mounted on a piece of matboard so that there is (answered by checkley77)
A picture 19 inches by 24 inches is to be mounted on a piece of matboard so that there is (answered by ankor@dixie-net.com)
A picture 19 inches by 24 inches is to be mounted on a piece of matboard so that there is (answered by nerdybill)
Please help. A picture 19 inches by 24 inches is to be mounted on as piece of matboard... (answered by checkley77)
A picture 9 inches and 8 inches is to be mounted on a piece of matboard so that there is... (answered by ikleyn,Boreal)
A picture 11 inches by 15 inches is to be mounted on a piece of mat board so that there... (answered by richwmiller)