A rectangle with an area of 91 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.
To find the area after dilation, we need to multiply the original area by the square of the scale factor.
Original area = 91 units^2
Scale factor = 3/4
Area after dilation = (91) * (3/4)^2
Area after dilation = 91 * 9/16
Area after dilation = 819/16
Area after dilation ≈ 51.2 units^2
Therefore, the area of the rectangle after dilation is approximately 51.2 units^2.