Mathematics
Grade6
Easy
Question
Find the perimeter of the rectangle whose coordinates are as follows
![](data:image/png;base64,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)
- 300
- 280
- 70
- 75
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 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: 70
The given rectangle is ABCD
The points are:
A = (-33,8)
B = (-33,28)
C = (-18,28)
D = (-18,8)
We have to find the length of the adjacent sides of rectangle ABCD W
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 BD as breadth.
A and B have same signs so they are in same quadrant. And B and C have same signs so they are in same quadrant.
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 = |8|
Absolute distance of the point B = |28|
Length of AB = |28| – |8|
= 28 - 8
= 20
Length of the rectangle is 20 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 = |-33|
Absolute distance of the point C = |-18|
Length of BC = |-33| - |-18|
= 33 - 18
= 15
Breadth of the rectangle is 15 units.
The formula for perimeter is 2(length + breadth)
Perimeter of rectangle ABCD = 2(length + breadth)
= 2(20 + 15)
= 2(35)
= 70 units.
Therefore, perimeter of the rectangle is 70 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.