Question

Find the perimeter and the area of the polygon with the given vertices. W (11,2), X (11,8), Y (14,8), Z (14,2)

Answer 1

Answer:

The perimeter of the polygon = 18 units

The area of the polygon will be $A=18$ square units

Step-by-step explanation:

Computing the Perimeter of the Polygon:

Considering the polygon with vertices

• W (11,2)

• X (11,8)

• Y (14,8)

• Z (14,2)

As the polygon is drawn in coordinate plane as shown in figure a.

From the attached figure a, we can observe that

• The length of the side $WZ = 3$ units

• The length of the side $ZY = 6$ units

• The length of the side $WX = 6$ units

• The length of the side $XY = 3$ units

So, the perimeter of the polygon can be calculated by taking the sum of the lengths of all sides i.e.

The perimeter of the polygon = $WZ + ZY + WX + XY$

                                                  = 3 + 6 + 6 + 3

                                                  = 18 units

Computing the Area of the Polygon:

Area can be calculated by multiplying the length and width of the polygon.

$A=lw$

So, the area will be:

$A=lw$

$A=(3)(6)$

$A=18$

Therefore, the area of the polygon will be $A=18$ square units

Keywords: area, perimeter, polygon

Learn more about area and perimeter from brainly.com/question/2328840

#learnwithBrainly