What is the area of this figure?



Enter your answer in the box.

units²
A regular hexagon is graphed on a coordinate plane. The horizontal x-axis ranges from negative 6 to 6 in increments of 1 The vertical y-axis ranges from negative 6 to 6 in increments of 1. The vertices of the hexagon are located at begin ordered pair negative 5 comma 2 end ordered pair, begin ordered pair negative 1 comma 4 end ordered pair, begin ordered pair 2 comma 2 end ordered pair, begin ordered pair 2 comma negative 2 end ordered pair, begin ordered pair negative 2 comma negative 4 end ordered pair, and begin ordered pair negative 5 comma negative 2 end ordered pair.

Respuesta :

Answer:

          [tex]\large\boxed{\large\boxed{42 unit^2}}[/tex]

Explanation:

The figure is not a regular hexagon. It is an irregular hexagon.

Please, find attached the picture with the original question and the figure.

You can split the figure into two triangles and one rectangle.

The rectangle has dimensions: 7units × 4units, thus its area is 28 units².

Both the upper triangle and lower triangle have base 7 units and height 2 units.

Hence the area of each triangle is:

       [tex]area=(1/2)base\times height[/tex]

       

      [tex]area=(1/2)7units\times 2units = 7units^2[/tex]      

Hence, the area of the hexagon is:

           [tex]28units^2+7units^2+7units^2=42units^2[/tex]

Ver imagen Edufirst