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.

Answer 1

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.