9514 1404 393
Answer:
3070.06 square inches
Step-by-step explanation:
The area of the left triangle can be found using Heron's formula:
s = semiperimeter = (53+71+58)/2 = 91
area = √(s(s -53)(s -71)(s -58)) = √2282280 ≈ 1510.72
The area of the right triangle can be found using the trig formula ...
area = 1/2ab·sin(C)
area = 1/2(55)(71)sin(53°) ≈ 1559.34
Then the total area is ...
1510.72 +1559.34 = 3070.06 . . . . . square inches
