Mathematics
Grade6
Easy
Question
Find the perimeter of the rectangle whose coordinates are as follows
![](data:image/png;base64,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)
- 80
- 82
- 100
- 210
Hint:
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 boundary 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: 82
The given rectangle is ABCD
The points are:
A = (-10,-10)
B = (-10,-4)
C = (25,-4)
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 figure, we can sat that the points A and B are in same quadrant. And the point B and C are in adjacent 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 = |-4|
Length of AB = |-10| - |-4|
= 10 - 4
= 6
Length of the rectangle is 6 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 = |-10|
Absolute distance of the point C = |25|
Length of BC = |25| + |-10|
= 25 + 10
= 35
Breadth of the rectangle is 35 units.
The formula for perimeter of a rectangle is 2(length + breadth)
Perimeter of the rectangle ABCD = 2(length + breadth)
= 2( 6 + 35)
=82 units
Therefore, perimeter of the rectangle is 82 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.