Question

Rectangle PQRS is plotted on a coordinate plane. The coordinates of P

are (-1, -3) and the coordinates of Q are (-1, 2). Each unit on the
coordinate plane represents 1 centimeter, and the perimeter of
rectangle PQRS is 20 centimeters. Find the coordinates of points R and
S given these conditions:
a) Points R and S are to the left of points P and Q.

PLS HELP I NEED IT TO HE SMPLE

Answer 1

`PQ = 2 - (-3) = 2 + 3 = 5 \ cm`

`RS = PQ \implies RS = 5 \ cm`

the perimeter of rectangle PQRS is 20 centimeters ⇒

`QR = SP = 5 \ cm`

⇒ PQRS is square

`x_(R) = x_(Q) - 5 = -1-5 = -6`

`y_(R) = y_(Q) = 2`

`\implies R(-6,2)`

`x_(S) = x_(R) = -6`

`y_(S) = y_(P) = -3`

`\implies Q(-6,-3)`