Explanation: We are given that the ratio between the side length of the larger triangle to the smaller one is 4:3 We can use this information to get the ratio between their areas. To get the ratio between the areas, we will simply square the ratio between the side lengths as follows: area of large triangle : area of small triangle (4)² : (3)² 16 : 9
We are given that the area of the small triangle is 315 in², therefore, we can use cross multiplication to get the area of the large triangle as follows: area of large triangle : area of small triangle 16 : 9 ?? : 315 area of large triangle = (315*16) / 9 area of large triangle = 560 in²