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Question: The length of a rectangle frame is 53cm for what width would the perimeter be greater than 160cm?
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So there is two lengths of 53, so 2x53 is 106, now 160-106 is 54, now divide that by 2, since there is 2 widths, you get 27cm
\[2L+2W >160\] \[2(53)+2W >160\] \[106+2W >160 \rightarrow 2W >54 \rightarrow w >27\] Its when the width is greater than But not equal to 27
Assuming that this is a 2D shape, and if x is the width and y is the length: Perimeter \[= 2x + 2y\] So... \[2x + 2(53cm) > 160cm\] Multiply 2 x 53 \[2x + 106cm > 160cm\] Subtract 106 from 160 \[2x > 54cm\] Divide by 2 \[x > 27cm\]
the answer 82.5
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