A triangle has a side length of 4 inches and an area of 18 square inches and a larger similar triangle has a corresponding side length of 8 inches. Find the area of the larger triangle.
+23254 If two figures are similar, then the ratio of their areas is proportional to the squares of their corresponding sides.
Formula: (side1)2 / (side2)2 = Area1 / Area2
---> (4)2 / (8)2 = 18 / A ---> 16 / 64 = 18 / A
---> 16·A = 18·64 (cross-multiplying)
---> 16·A = 1152
---> A = 72
