Solve The Given Problem A 196in² Portrait Ismounted With A Border On A Square Fram…

solve the given problem
A 196in² portrait ismounted with a border on a square frame, if the total area of the border is29in²,what is the length of the side of the border?​

Answer:

15 in

Solution:

196 + 29 = 225 is the total area of the frame.

Since the shape of the frame is square, the length of it is [tex]\sqrt{a}[/tex]

Thus, L = [tex]\sqrt{225}[/tex] = 15 in

Don’t forget the sign!

#CarryOnLearning

Answer:

15 in

Step-by-step explanation:

Let the uniform width of the border is x,

So, the diagram for the problem (attached below),

the area of the picture is [tex]196in^{2}[/tex], so the length of the sides is  [tex]\sqrt{196} = 13[/tex]

So, the area inside the frame will be,

A=(13+2x)·(13+2x)

  =[tex](13+2x)^{2}[/tex]

so, the length of the border around the picture is,

[tex](13+2x)^{2} – 13^{2} = 29\\\\(13+2x)^{2} = 29 + 196\\\\(13+2x)^{2} =225\\\\13+2x=15\\\\[/tex]

So the length of the border is 15 in.

#CarryOnLearning

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