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

#1**+3 **

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

#1**+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