Question

Please Help I Don't Understand!

Answer 1

Plot the 4 points (Attached)

• A(-4,2)
• B(1,6)
• C(15,6)
• D(10,2)

AD:-

• √(-4-10)²
• √14²
• 14units

AB

• √(-4-1)²+(2-6)²
• √(5)²+4²
• √25+16
• √41

Draw E(1,2)

• AE=√(-4-1)²=5units

Find Height of parallelogram BE

• √(1-1)²+(6-2)²
• 4units

Area of parallelogram

• Base×Height
• BE×AD
• 14(4)
• 56units²

Answer 2

56 units²

Explanation:

Plots the points on the given graph paper.

Join the points from A through D with line segments (see attachment).

From inspection of the parallelogram:

• 
  `\rm Base = x_D-x_A=10-(-4)=14`

• 
  `\rm Height = y_B-y_A=6-2=4`

Substitute the found values into the formula for area of a parallelogram:

`\begin{aligned}\text{Area of a parallelogram} & = \rm base * height\\& = \rm 14 * 4\\& = \rm 56\:units^2\end{aligned}`