Question

(i) Plot the points M(4, 3), N(4, 0), 0(0, 0), P(0, 3) on graph sheet.

(ii) Name the figure obtained by joining MNOP.

(iii) Find the perimeter of the figure.​

Answer 1

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

Given coordinates are

Coordinates of M be (4, 3)

Coordinates of N (4, 0)

Coordinates of O (0, 0)

Coordinates of P (0, 3).

[ Please see the attachment ].

From graph we concluded that

MN = 3 units

NO = 4 units

OP = 3 units

PM = 4 units

Also,

MN is Perpendicular to NO

NO is perpendicular to OP

OP is perpendicular to PM

PM is perpendicular to MN

It implies, MN = OP = 3 units and PM = NO = 4 units.

As we know that,

In a quadrilateral, if pair of opposite are equal and angle between the sides is 90°, then quadrilateral is a rectangle.

So, this figure, MNOP is a rectangle.

Now,

Perimeter of a rectangle = 2 × ( 4 + 3 ) = 2 × 7 = 14 units.

Answer 2

Solution−

Given coordinates are

Coordinates of M be (4, 3)

Coordinates of N (4, 0)

Coordinates of O (0, 0)

Coordinates of P (0, 3).

[ Please see the attachment ].

From graph we concluded that

MN = 3 units

NO = 4 units

OP = 3 units

PM = 4 units

Also,

MN is Perpendicular to NO

NO is perpendicular to OP

OP is perpendicular to PM

PM is perpendicular to MN

It implies, MN = OP = 3 units and PM = NO = 4 units.

As we know that,

In a quadrilateral, if pair of opposite are equal and angle between the sides is 90°, then quadrilateral is a rectangle.

So, this figure, MNOP is a rectangle.

Now,

Perimeter of a rectangle = 2 × ( 4 + 3 ) = 2 × 7 = 14 units.