SOLUTION: a square painting is surrounded by 2cm wide frame. If the total area of the painting plus frame is 729 cm^2, find the dimensions of the painting. Given: Required: Representation

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Question 1185695: a square painting is surrounded by 2cm wide frame. If the total area of the painting plus frame is 729 cm^2, find the dimensions of the painting.
Given:
Required:
Representation:
working Equation:
Solution:
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Side of square, x

Total Area frame plus painting, %28x%2B2%2A2%29%5E2=729
or %28x%2B4%29%5E2=729, and 729=27%5E2, so you can finish this.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

            There is no need to write and to solve any equation.

            This problem is arithmetic for the 4-th grade level students.



If the area of the square is  729 cm^2,  then its side is   sqrt%28729%29 = 27  centimeters.

Since the frame is  2 cm  wide,  the side of the square painting is   27 - 2 - 2 = 23  centimeters.             ANSWER

Solved and completed.


        The instructions are ABSURDIST.