189k views
0 votes
Find the area of the plot of land shown below. ​

Find the area of the plot of land shown below. ​-example-1

1 Answer

3 votes

9514 1404 393

Answer:

3070.06 square inches

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

Find the area of the plot of land shown below. ​-example-1
Find the area of the plot of land shown below. ​-example-2
User Pratpor
by
6.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.