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.

1 answer

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.