Question

write the coordinates of the vertices of a rectangle whose length and breadth are 8 units and 7 units respectively , has one vertex at the origin , the longer side is on the x-axis and one of the vertices in third quadrant. Also find the area.​

Answer 1

Answer:

Co-ordinates of the vertices are (-5, 0) , (0,-3) and (0, 0)  

Solution:

As we can see according to the coordinate diagram, the length of the rectangle is 5 unit long in the negative x axis and negative 3 in the y axis, now with one vertex at origin.

Therefore there is 1 vertex that have their y coordinate as zero and other whose x coordinate is 0.

Hence, the value of two vertex that are on line with the axis are (-5, 0) and (0.-3).

To the value of x and y we use the coordinates (-5, 0) and (0, -3), as we can see the value of x axis is -5 and the value of y =3.  

Hence, the value of (x, y) = (-5, 3).  

And the other coordinates are (-5, 0) , (0,-3) and (0, 0)

Step-by-step explanation: