Question

lets try: find the area of parallelogram klmn round to the nearest tenth if necessary k(-6, 1), l(0, 7), m(0, 1), n(-6, -5)

Explanation:

Step1: Identify base and height

For a parallelogram, area = base × height. Let's find the length of the base (horizontal or vertical) and the corresponding height.
Looking at points \( K(-6,1) \), \( M(0,1) \): the distance between them (base) is \( |0 - (-6)| = 6 \) (since y - coordinates are same, distance is difference in x - coordinates).
Now, find the height: the vertical distance between the horizontal lines (since base is horizontal). Take points \( M(0,1) \) and \( L(0,7) \) or \( N(-6,-5) \) and \( K(-6,1) \). The vertical distance (height) is \( |7 - 1| = 6 \) (or \( |1 - (-5)| = 6 \)).

Step2: Calculate area

Area of parallelogram \( = \text{base} \times \text{height} \)
Substitute base \( = 6 \) and height \( = 6 \)
\( \text{Area} = 6\times6 = 36 \)

Answer:

36