SOLUTION: A picture frame measures 16cm by 30cm on the outside, and 176cm^2 of picture shows.fine the uniform width of the frame around the picture
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Question 1125023: A picture frame measures 16cm by 30cm on the outside, and 176cm^2 of picture shows.fine the uniform width of the frame around the picture Answer by greenestamps(13200) (Show Source):
If x is the uniform width of the border, then the dimensions of the picture are 30-2x by 16-2x. So algebraically
You can solve the problem by solving that equation.
But a solution can be found more quickly using logical reasoning and a bit of simple arithmetic.
The difference between the dimensions of the whole frame is 14cm; with a uniform border, the difference between the dimensions of the picture will be 14 cm.
So find two numbers whose difference is 14 and whose product is 176.
The dimensions of the picture are 8 by 22; the outer dimensions of the frame are 16 by 30. The differences between the corresponding dimensions are 8cm; that means the uniform border is 4cm wide.
