Question

Polygon ABCD has the following vertices:

Al-5, 4), B(1,4), C(6,-4), and D(-5, -4)
Calculate the area of the polygon.

a.48 units squared
b. 53 units squared
c. 68 units squared
d. 88 units squared

Answer 1

68 units squared C

Explanation:

I took the test and I got a 100% with this answer.

Answer 2

Explanation:

By the Shoelace method,

Area of quadrilateral = 0.5|(-5)(4) + (1)(-4) + (6)(-4) + (-5)(4) - (1)(4) - (6)(4) - (-5)(-4) - (-5)(-4)|

= 0.5|(-20 - 4 - 24 - 20 - 4 - 24 - 20 - 20)|

= 0.5|(-136)|

= 0.5 * 136 = 68 units squared. (C)