Question

The rectangle PQRS has a length of 9

units and a width of 5 units. Each side of
the rectangle is parallel to an axis.
What are the coordinates of P, Q and S

Answer 1

The coordinates of the rectangle PQRS are (0,0), (9,0), and (9,5).

Step-by-step explanation:

The coordinates of the rectangle PQRS can be determined using the given length and width. Since each side of the rectangle is parallel to an axis, we can start from a reference point, such as the origin (0,0).

Let's start with point P which is at the bottom left corner of the rectangle. Since the width is 5 units, the x-coordinate of point P is 0 and the y-coordinate is 0. Therefore, the coordinates of P are (0,0).

Next, let's move to point Q which is at the bottom right corner of the rectangle. Since the length is 9 units, the x-coordinate of Q is 9 and the y-coordinate is 0. Therefore, the coordinates of Q are (9,0).

Finally, let's move to point S which is at the top right corner of the rectangle. Since both the length and the width are positive values, the x-coordinate of S is the same as the x-coordinate of Q, which is 9. The y-coordinate of S is the same as the width, which is 5. Therefore, the coordinates of S are (9,5).

Answer 2

P (- 5, 2 ) , Q (4, 2 ) , S (- 5, - 3 )

Step-by-step explanation:

• Points on the same horizontal line have the same y- coordinate

• Points on the same vertical line have the same x- coordinate

Point S is left of point R on a horizontal line, then subtract 9 (length ) from the x- coordinate of R

P (4 - 9, - 3 ) → P (- 5, - 3 )

Point Q is vertically above point R , then add 5 (width ) to the y- coordinate of R

Q (4, - 3 + 5 ) → Q (4, 2 )

Point S is left of point R and vertically down from Point P, then subtract 9 from the x- coordinate of R and subtract 5 from the y- coordinate of P

S ( 4 - 9, 2 - 5 ) → S (- 5, - 3 )