SOLUTION: A picture that measures 4 inches by 5 inches is placed in a frame of uniform width. If the area of the frame and picture together is 110 square inches what is the width of the fram

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Question 1166548: A picture that measures 4 inches by 5 inches is placed in a frame of uniform width. If the area of the frame and picture together is 110 square inches what is the width of the frame?
Answer by ikleyn(52778) About Me  (Show Source):
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The difference of the dimensions of the picture is 5 - 4 = 1 inch.


Since the frame is of uniform width, the difference of the outer dimensions of the frame is 1 inch, too.


The area of 110 square inches of the frame and the picture together 
is the product of the numbers 10 and 11 with the difference 1 unit.


Therefore, the outer dimensions of the frame are 10 and 11 inches.


It implies that the width of the frame is  %2811-5%29%2F2 = 6%2F2 = 3 inches.    ANSWER

Solved / (mentally)