Triangles ABC and DEF are similar. Find the area of triangle ABC. Round your answer to the nearest tenth.

Triangle ABC has a base of 12m.
Triangle DEF has a base of 18m and height of 12m

1 answer

since the bases are in the ratio of 2/3,
the areas are in the ratio of (2/3)^2 = 4/9

A(ABC) = (4/9)*(1/2)(18)(12) = 48