A trapezoid has an area of 100 square units. What scale factor would be required to dilate the trapezoid to have each area?

Question

~900 square units

~100 square units

~25 square units

~ 4 square units

Answer 1

Scaling the sides of a 2D object by a factor k will scale the area A by k². So the new area will be A' = k²A ⇒ k = √(A'/A).