+17 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.
+2440 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. |
+2440 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. |
