A triangle with an area of 75 unitssquared
2
is the image of a triangle that was dilated by a scale factor of one quarter
4
1
. Find the area of the preimage, the original triangle, before its dilation. Round your answer to the nearest tenth, if necessary.
The formula for dilating a shape is as follows:
Area of preimage = (Scale factor)^2 * Area of image
Let A be the area of the preimage, and let A' be the area of the image.
75 = (1/4)^2 * A
75 = 1/16 * A
A = 75 * 16
A = 1200
Therefore, the area of the preimage, the original triangle before its dilation, is 1200 units^2.