Mathematics
Grade6
Easy
Question
Find the area of the rectangle whose coordinates are as follows
![](data:image/png;base64,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)
- 110 sq. units
- 120 sq. units
- 825 sq. units
- 875 sq. units
Hint:
We are given a rectangle plotted on x-y graph. It lies in fourth quadrant of the graph. We are given the coordinates of the corners of the rectangle. We are asked to find the area of the rectangle. Area is the plane enclosed by the border of shape. We will do this by finding the absolute distance of two adjacent sides. And then find the area using the formula of area for rectangle.
The correct answer is: 875 sq. units
The given rectangle ABCD is in fourth quadrant.
The coordinates of the points are:
A is (10,-30)
B is (10,-5)
C is (45,-5)
D is (45,-30)
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. Absolute distance is its length from the respective axis. If x coordinate is same, then we will measure the length 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) As the points are in same quadrant, to find the length we will have to subtract the absolute distance.
Let’s consider the side AB as length and BC as breadth
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 = |-30|
Absolute distance of the point B = |-5|
Length of AB = |-30| - |-5|
= 30 – 5
= 25
Length of the rectangle is 25 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 = |45|
Length of BC = |45| - |-10|
= 45 – 1
= 35
Breadth of the rectangle is 35 units.
The formula for area is (length × breadth)
Area of rectangle ABCD = (length × breadth)
= (25 × 35)
= 825 sq. units
Therefore, area of the rectangle is 825 sq. units.
For such questions, we have to see if the points of the rectangle are in same quadrant or adjacent quadrants. For points in adjacent quadrants, we have to add the absolute values. We can use distance formula to find the length of sides of rectangle too.