The vertices of a polygon are (12, 24), (27, 24), (30, 12), and (6, 12). Find the area of the polygon.
1 answer:
Answer:
234
Step-by-step explanation:
A(12, 24), B(27, 24), C(30, 12), and D(6, 12)
A and B have same y value of 24, AB // x axis
C and D have same y value of 12, CD // x axis
AB // CD
AB distance = 27 - 12 = 15
CD length = 30 - 6 = 24
AB ≠ CD ABCD is a trapezoid
Area of trapezoid: (upper base + lower base) x height / 2
height = y difference of A and D or B and C 24 -12 = 12
Area = (15 + 24) x 12 / 2 = 39 x 12 / 2 = 234
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Distance traveled= 24 mi +33 mi=57 mi
Next, we are going to use the Pythagorean theorem to find the distance from
to 
:
d^2=1665
mi
Finally, we are going to subtract the two distances:
57 mi -40.8 mi= 16.2 mi
We can conclude that <span>if the ship could have traveled in a straight lime from point a to point c, it could have saved 16.2 miles.</span>
Distance traveled= 24 mi +33 mi=57 mi
Next, we are going to use the Pythagorean theorem to find the distance from
d^2=1665
Finally, we are going to subtract the two distances:
57 mi -40.8 mi= 16.2 mi
We can conclude that <span>if the ship could have traveled in a straight lime from point a to point c, it could have saved 16.2 miles.</span>
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