What scale factor would be required to dilate the trapezoid to have each area? of 400

Answer 1

Area of Dilated Trapezoid = (Area of Original Trapezoid) × k²

where k is the scale factor. Solving for k:

(Area of Dilated Trapezoid) / (Area of Original Trapezoid) = k²

SQRT [(Area of Dilated Trapezoid) / (Area of Original Trapezoid)] = k

If you want the area of the dilated trapezoid to be 400, then:

SQRT [400 / (Area of Original Trapezoid)] = k

Now all you have to do is figure out the area of the original trapezoids then use your calculator to compute the answer using the above equation.