A rectangle with an area of 9191 unitssquared
2
is dilated by a scale factor of start fraction, 3, divided by, 4, end fraction
4
3
. Find the area of the rectangle after dilation. Round your answer to the nearest tenth, if necessary.
The formula for dilating a rectangle by a scale factor is:
Area after dilation = (scale factor)^2 * original area
In this case, the scale factor is 3/4, so the area after dilation would be:
Area after dilation = (3/4)^2 * 9191
Area after dilation = (9/16) * 9191
Area after dilation = 5160.1875
Rounding to the nearest tenth, the area after dilation is approximately 5160.2 units squared.