Question

1. in the standard (x,y) coordinate plane below, the points (0,0), (10,0), (13,6), and (3,6) are the vertices of a parallelogram. what is the area, in square coordinate units, of the parallelogram?

f. 30
g. 60
h. 30√3
j. 30√5
k. 60√5

Explanation:

Step1: Identify base and height

The base of the parallelogram is the distance between $(0,0)$ and $(10,0)$. Using the distance formula for points on the x - axis (or simply subtracting x - coordinates), the base $b = 10-0=10$. The height of the parallelogram is the y - coordinate of the points $(3,6)$ and $(13,6)$, so $h = 6$.

Step2: Apply area formula

The area formula for a parallelogram is $A=b\times h$. Substitute $b = 10$ and $h = 6$ into the formula: $A=10\times6 = 60$.

Answer:

G. 60