SOLUTION: The Mona Lisa is a famous painting by Leonardo da Vinci. The painting is 30 inches by 21 inches. It is surrounded by a frame of uniform thickness whose area (not including the cent

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Question 1156439: The Mona Lisa is a famous painting by Leonardo da Vinci. The painting is 30 inches by 21 inches. It is surrounded by a frame of uniform thickness whose area (not including the center) is 756 inches squared. Find the thickness of the frame.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
the uniform "thickness", u


Simplify, and continue from this.
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.


(21+2x)*(30+2x) - 21*30 = 756


60x + 42x + 4x^2 = 756


4x^2 + 102x - 756 = 0


x^2 + 51x - 378 = 0


 =  = .


Negative root does not work.  The positive root  x =  = 6 is the solution to the problem.


ANSWER.  6 inches.

Solved.

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If you want to see many other similar solved problems, look into the lessons
    - Problems on the area and the dimensions of a rectangle surrounded by a strip
    - Cynthia Besch wants to buy a rug for a room
    - Problems on a circular pool and a walkway around it
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Dimensions and the area of rectangles and circles and their elements".

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Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.


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