A rectangle with an area of 91 unitssquared is dilated by a scale factor of start fraction 3/4 Find the area of the rectangle after dilation. Round your answer to the nearest tenth, if necessary.
To find the area of the dilated rectangle, we first need to find the dimensions of the original rectangle.
Let x be the length of the original rectangle and y be the width of the original rectangle.
Area of original rectangle = x * y = 91
Now, the scale factor is 3/4, so the dimensions of the dilated rectangle will be:
Length of dilated rectangle = 3/4 * x
Width of dilated rectangle = 3/4 * y
Area of dilated rectangle = (3/4 * x) * (3/4 * y)
= 9/16 * (x * y)
= 9/16 * 91
≈ 51.19
Therefore, the area of the rectangle after dilation is approximately 51.2 units squared.