The answer is B. 16.1 square meters
The region has triangular shape. To calculate the area of the triangle when three sides are known, we will use the Heron's formula:
A = √s(s-a)(s-b)(s-c)
where:
A - the area of the triangle
a, b, and c - the sides of the triangle
s - half of the triangle's perimeter: s = (a+b+c)/2
It is given:
a = 13 m
b = 5 m
c = 9 m
First, calculate s:
s = (a+b+c)/2 = (13+5+9)/2 = 13.5
Now, it is easy to calculate the area:
A = <span>√s(s-a)(s-b)(s-c) = </span>√13.5(13.5-13)(13.5-5)(13.5-9) = √13.5×0.5×8.5×4.5 = √258.19 = 16.07 ≈ 16.1
8.3 + 3.5y − 0.5(16y − 5) = -4.5y + 10.8
<em>x=3.4</em>
You get this answer by solving for x. First, subtract 4.2 from 5.9 to get 1.7. Then, divide 1.7 by .5 to get 3.4.
:)
