Find the area of the polygon with the given vertices. $W(0,\ 0),\ X(0,\ 3),\ Y(-3,\ 3),\ Z(-3,\ 0)$W(0, 0), X(0, 3), Y(−3, 3), Z(−3, 0)​ The area is square units.

Question

find the area

Answer 1

If you draw the points on a sheet of graph paper, you will note that each consecutive point is at a right angle with the line segment connecting the previous two points.

You will also note that the distance between each consecutive point is 3 units.

Because each side is 3 units long and because each consecutive line segment is at a right angle with the previous one, the figure is a square.

The area of any square is the square of the length of its sides.

So, area = 3 × 3 = 9 square units.

Answer 2

Define Polygon: a plane figure with at least three straight sides and angles, and typically five or more.

This is a square—that is, there are four angles and four straight sides.

The area of a square is (length)(width). The length is 3 units and the width is also 3 units.

Thus, the Area, A = (3 units)(3 units) = 9 units^2.

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