Mathematics
Grade6
Easy
Question
Find the perimeter of the rectangle whose coordinates are as follows
![](data:image/png;base64,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)
- 100
- 120
- 415
- 400
Hint:
We are given a rectangle plotted in x-y plane. We are given 4 coordinates of corner of a rectangle ABCD. We are asked to find the perimeter of the rectangle. Perimeter means the length of the border of the shape. To solve this question, we will find any two adjacent sides. Once we find the adjacent sides, we will use the formula for perimeter of a rectangle.
The correct answer is: 100
The given rectangle is ABCD
The points are:
A = (15,-10)
B = (15,30)
C = (25,30)
D = (25,-10)
We have to find the length of the adjacent 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. 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.
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.
We will consider the side AB as length and BC as breadth.
From the given figure, we can see points A and B are in adjacent quadrants. And points B and C are in same quadrants.
We will find the length of side AB.
For the points A and B, x coordinate is same. We will find the absolute distance using y coordinate. It is distance from x axis.
Absolute distance of the point A = |-10|
Absolute distance of the point B = |30|
Length of AB = |30| + |- 10|
= 30 + 10
= 40
Length of the rectangle is 40 units.
We will find the length of side BC.
For the points B and C, y coordinate is same. We will find the absolute distance using x coordinate. It is distance from y axis.
Absolute distance of the point B = |15|
Absolute distance of the point C = |25|
Length of BC = |25| - |15|
= 25 - 15
= 10
Breadth of the rectangle is 10 units.
The formula for perimeter of a rectangle is 2(length + breadth)
Perimeter of the rectangle ABCD = 2(length + breadth)
. = 2( 40 + 10)
= 100 units
Therefore, perimeter of the rectangle is 100 units.
For such questions, we have to see if the points of the rectangle are in same quadrant or adjacent quadrants. We can use distance formula to find the length of sides of rectangle too.