Mathematics

Grade6

Easy

Question

# Calculate the perimeter of the irregular figure

- 20
- 22
- 18
- 10

Hint:

### We are given the coordinates of the corner of a figure ABCDEFA. We are asked to find the perimeter of the figure. Perimeter means the length of the border of the shape. To solve this question, we will find absolute distance of all sides. Once we find the absolute distances, we will add them to find perimeter.

## The correct answer is: 22

### The given coordinates of the figure are:

A is (3,2)

B is (3,4)

C is (7,4)

D is (7,7)

E is (9,7)

F is (9,2)

We have to find the length of the all sides

To find the length we will use the following criteria:

1) If x coordinate is same, we will find the absolute distance using y coordinate.

2) If y coordinate is same we will use the x coordinate to find absolute distance.

3) If the points are in same quadrant, we will have to subtract the absolute distances to find length.

4) If the points are in adjacent quadrants, we will have to add the absolute distances to find length.

All points are in same quadrant.

Side AB:

For this, x coordinate is same. We will use y coordinate.

Absolute distance of the point A = |2|

Absolute distance of the point B = |4|

Length of AB = |4| - |2|

= 2

Side BC:

For this, y coordinate is same. We will use x coordinate.

Absolute distance of the point B = |3|

Absolute distance of the point C = |7|

Length of BC = |7| - |3|

= 4

Side CD:

For this, x coordinate is same. We will use y coordinate.

Absolute distance of the point C = |4|

Absolute distance of the point D = |7|

Length of CD = |7| - |4|

= 3

Side DE:

For this, y coordinate is same. We will use x coordinate.

Absolute distance of the point D = |7|

Absolute distance of the point E = |9|

Length of DE = |9| - |7|

= 2

Side EF:

For this, x coordinate is same. We will use y coordinate.

Absolute distance of the point E = |7|

Absolute distance of the point F = |2|

Length of EF = |7| - |2|

= 5

Side FA:

For this, y coordinate is same. We will use x coordinate.

Absolute distance of the point F = |9|

Absolute distance of the point A = |3|

Length of FA = |9| - |3|

= 6

To find perimeter, we add all sides.

Perimeter of the figure ABCDEFA = AB + BC + CD + DE + EF + FA

= 2 + 4 + 3 + 2 + 5 + 6

= 22 units

Therefore, the perimeter of given figure is 22 units.

An absolute distance is the length of the point from the respective axis. If x coordinate is same then its length is measured from x axis. It is a positive quantity. We can use distance formula to find the length of sides of rectangle too.