Respuesta :

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
Ver imagen Аноним
Ver imagen Аноним
semsee45

Answer:

56 units²

Step-by-step 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:

  • [tex]\rm Base = x_D-x_A=10-(-4)=14[/tex]
  • [tex]\rm Height = y_B-y_A=6-2=4[/tex]

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

[tex]\begin{aligned}\text{Area of a parallelogram} & = \rm base \times height\\& = \rm 14 \times 4\\& = \rm 56\:units^2\end{aligned}[/tex]

Ver imagen semsee45

Otras preguntas