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Answer:
Please refer to the attached diagram for answer.
Step-by-step explanation:
Upper-left coordinates on a rectangle are (-1, 4)
Upper-right coordinates are (3, 4)
Perimeter of rectangle = 24 units
To find:
To draw the rectangle on the coordinate plane.
Solution:
Let the rectangle be ABCD.
So, <em>sides AB = CD and BC = DA</em>
Let Point A has coordinates (-1, 4).
And upper right coordinates will be adjacent to A.
So, let Point B (3, 4).
Let us find the distance between A and B by distance formula:
Where,
AB = 4 = CD
Perimeter of rectangle = Sum of all four sides = 2 (AB+DA) = 24
As it is a rectangle, its adjacent sides will be perpendicular to each other.
When we move from A to B only x coordinate is changing and it has changed by 4 (3- (-1) ) units. (Found by subtracting the x coordinates of the two points.)
Similarly, when we will move from D to A, only y coordinate will change by 8 units. (D is lower left coordinate so add 8 to y)
coordinate will be same as that of A i.e. -1.
So, D will be (-1, -4)
Similarly, when we will move from C to B, only y coordinate will change by 8 units. (C is lower right coordinate so add 8 to y)
coordinate will be same as that of B i.e. 3.
So, C will be (3, -4).
Now, let us draw
A(-1, 4)
B(3, 4)
C (3, -4)
D(-1, -4)
Please refer to the attached diagram for answer.
