Question

Plot the point (2,3),( 2,1), (0,1) ,(0,3).Join the point order wise and Identify the figure and find the area of perimeter​

Answer 1

$\large\underline{\bold{Solution-}}$

Let the points be

• A (2, 3)

• B (2, 1)

• C (0, 1)

• D (0, 3)

Now, plot these points on graph paper.

(See the attachment)

From graph, we conclude that

• AB = BC = CD = DA = 2 units

And

• interior angles between the sides is 90°

Therefore,

• ABCD is a square of side 2 units.

We know,

$\bf \: Area_{(square)} \: = \: {(side)}^{2}$

$\therefore\sf \: Area_{(square)} \: = \: {2}^{2} = 4 \: square \: units$

Also,

$\bf \: Perimeter_{(square)} \: = \: 4 \times side$

$\therefore \sf \: Perimeter_{(square)} = 4 \times 2 = 8 \: units$

Concept Used:-

To graph, or plot points

• we use two perpendicular lines called the x axis and the y axes.

• Horizontal number line is the x axis and the vertical line is the y axis.

• The part of x axis towards right of origin is the positive x axis and the one towards left of origin is the negative x axis.

• Similarly the part of y axis above the origin, is the positive y axis and the part of y axis below the origin, is the negative y axis.

• Every point in the coordinate plane is represented by an ordered pair of x and y coordinates.

Rules to plot a point in the coordinate plane given its ordered pair

• We move along the x axis that many units from the origin left/right as the x coordinates.

• Then we move up/down vertically as many units as the y coordinate to locate the point in the coordinate plane.