Question

segment be is the altitude of parallelogram abcd. be is approximately 14.5 units long. what is the area of the parallelogram rounded to the nearest unit? square units

Explanation:

Step1: Identify base length

From the graph, the base corresponding to altitude BE is side AB. Using the distance formula for points A(-10,10) and B(3,7):
$$AB=\sqrt{(3 - (-10))^2+(7-10)^2}=\sqrt{13^2+(-3)^2}=\sqrt{169+9}=\sqrt{178}\approx13.34$$

Step2: Calculate parallelogram area

Area = base × height, where height is BE=14.5.
$$\text{Area}\approx13.34\times14.5$$

Answer:

193 square units