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# AG 2 Bench. 23 & 24

### Scale Factor

Problem | Answer |
---|---|

The sides of square are doubled. What effect does this have on the area? | It quadruples. |

A triangle has an area of 36 square centimeters. If the dimensions of the triangle are tripled, what will the new area be? | It will be 9 times larger - 9 x 36 = 324 square centimeters. |

The area of a new figure is 49 times larger than the original figure. By what factor were the original dimensions multiplied? | The square root of 49, so the dimensions were multiplied by 7. |

If the dimensions of a figure area multipled by 5, what effect does this have on the perimeter? | It will be five times larger. |

If the dimensions of a figure are multiplied by five, what effect does this have on the volume? | It will be 5^3 or 125 times larger. |

If the dimensions of a figure area multipled by five, what effect will this have on the area? | It will be 5^2 or 25 times larger. |

If the dimenions of a rectangle are multiplied by 8, what effect will this have on the surface area? | It will be 8^2 or 64 times larger. |

When the dimensions of a rectangle are multiplied by 8, wht effect will this have on the perimeter? | It will be 8 times larger. |

If you multiply the dimensions of a rectangle by 8, what effect will this have on the volume? | It will be 8^3 or 512 times larger. |

If the dimensions of a figure are reduced to half their original size, what effect will this have on the perimeter? | It will be half the original. |

If the dimensions of a figure are reduced by half, what effect will this have on the volume? | It will be 1/8 the original. |

If the dimensions of a figure are reduced by half, what effect will this have on the area? | It will be 1/4 the original. |

Created by:
mathgal82