The vertices of a polygon are (12, 24), (27, 24), (30, 12), and (6, 12). Find the area of the polygon.

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

7 0

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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