SOLUTION: An artist want to frame a square painting with an area of 400 square inches. She wants to know the length of the wood trim that is needed to go around the painting. If x is the l

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Question 988784: An artist want to frame a square painting with an area of 400 square inches. She wants to know the length of the wood trim that is needed to go around the painting. If x is the length of one side of the painting, what equation can you set up to find a length of the side?
Found 2 solutions by Boreal, macston:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It is a square painting of 400 sq in,
All sides are equal in a square, and the side length is the square root of the area.
The square root of 400 sq in is 20 inches.
The perimeter is 4 times that or 80 inches.



Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Area of a square= side squared
x=length of side
.
x%5E2=400in%5E2
sqrt%28x%5E2%29=sqrt%28400in%5E2%29
x=20in
Perimeter of a square=4 x side
Perimeter of painting=4(20in)=80 inches
Answer: To frame the painting she needs:
80 inches + 8 times the width of the trim
(The extra over the perimeter is for the mitered corners.)