I added a screenshot with the complete question.
Answer:
area of larger triangle = 560 in²
Step-by-step 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
Hope this helps :)