Answer:
Therefore the value of perimeter of the rectangle is 14 in.
Step-by-step explanation:
The opposite sides of a rectangle are congruent.
The perimeter of a rectangle is 2(length + width)
The area of a rectangle is (length×width).
Given the vertices of a rectangle are P(2,2), Q(6,2), R(6,5) and S(2,5).
To find the the perimeter, first we need the sides of the rectangle.
The distance between two points(x₁,y₁) and (x₂,y₂) is
The distance between P and Q is
in
in
=4 in
The distance between Q and R is
in
in
=3 in
The distance between R and S is
in
in
=4 in
The distance between S and P is
in
in
=3 in
Therefore the length of the rectangle is = 4 in.
an the width of the rectangle is = 3 in
Therefore the perimeter of the rectangle is =2(4+3) in
=14 in