SOLUTION: A picture frame measures 28 cm by 32 cm and is of uniform width.What is the width of the frame if the area of the picture is 192 cm^2???
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Question 247101: A picture frame measures 28 cm by 32 cm and is of uniform width.What is the width of the frame if the area of the picture is 192 cm^2??? Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! (28-2x)(32-2x)=192
896-64x-56x+4x^2=192
4x^2-120x+896-192=0
4x^2-120x+704=0
4(x^2-30x+176)=0
4(x-22)(x-8)=0
x-8=0
x=8 ans.
Proof:
(28-2*8)(32-2*8)=192
(28-16)(32-16)=192
12*16=192
192=192
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