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Bunuel

A frame of uniform width is placed around a square photograph PQRS. If PQ = 10 inches and the area of the frame is 125 square inches, what is the width of the frame, in inches?

A. 2
B. 2.5
C. 5
D. 7.5
E. A unique value cannot be found


Attachment:
1.png

Area of bigger sq. - Area of smaller sq. = 125

Say the uniform width is w

\((PQ+2w)^2 - PQ^2 = 125\)
\((10+2w)^2 - 100 = 125\)
Save yourself from solving this quadratic.


You can either hit and try the answer option for different value of w,
or
Figure out what perfect sq. when when reduced by 100 gives 125. It's 225= \((15)^2\)
225 - 100 = 125
\(225 = (10+5)^2\)
2w=5
w=2.5
Option B is correct
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