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A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5. What is the area of the new rectangle? Enter your answer in the box.

Ashlay  Jun 9, 2017

Best Answer 

 #1
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Changing all dimensions in area has a generalized effect; affecting the length and width by a scale factor of \(a\), the area will be multiplied by \(a^2\). Let's apply this idea:
 

\(3.5^2=12.25\) If the length and the width are being multiplied by 3.5, then the area is multiplied by that scale factor squared.
\(72*12.25\) Multiply the original area by the scale factor squared to get the new area
\(882in^2\) This is the new area of the rectagle. Of course, include units in your final answer.
   
TheXSquaredFactor  Jun 9, 2017
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1+0 Answers

 #1
avatar+1221 
+3
Best Answer

Changing all dimensions in area has a generalized effect; affecting the length and width by a scale factor of \(a\), the area will be multiplied by \(a^2\). Let's apply this idea:
 

\(3.5^2=12.25\) If the length and the width are being multiplied by 3.5, then the area is multiplied by that scale factor squared.
\(72*12.25\) Multiply the original area by the scale factor squared to get the new area
\(882in^2\) This is the new area of the rectagle. Of course, include units in your final answer.
   
TheXSquaredFactor  Jun 9, 2017

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