POLYGONS ON THE COORDINATE PLANE

Use the coordinates to find the length of each side of the rectangle. Then find the perimeter.

Problem 1 :

R(1, 1), S(1,7), T(5,7), U(5,1)

Solution :

By plotting the given points on the coordinate plane, we get

From the graph,

Length of the each side of the rectangle are 

AB = 4 units, BC = 6 units, CD = 4 units, and AD = 6 units

Perimeter of the rectangle = sum of all its four sides

= AB + BC + CD + AD

= 4 + 6 + 4 + 6

= 20 units

Problem 2 :

E(3, 6), F(7, 6), G(7, 2), H(3, 2)

Solution :

By plotting the given points on the coordinate plane, we get

From the graph,

Length of the each side of the rectangle are 

AB = 4 units, BC = 4 units, CD = 4 units, and AD = 4 units

Perimeter of the rectangle = sum of all its four sides

= AB + BC + CD + AD

= 4 + 4 + 4 + 4

= 16 units

Problem 3 :

E(1, 7), F(3, 7), G(3, 4), H(1, 4)

Solution :

By plotting the given points on the coordinate plane, we get

From the graph,

Length of the each side of the rectangle are 

AB = 2 units, BC = 3 units, CD = 2 units, and AD = 3 units

Perimeter of the rectangle = sum of all its four sides

= AB + BC + CD + AD

= 2 + 3 + 2 + 3

= 10 units

Problem 4 :

W(2, 7), X(2, 0), Y(6, 0), Z(6, 7)

Solution :

By plotting the given points on the coordinate plane, we get

From the graph,

Length of the each side of the rectangle are 

AB = 4 units, BC = 7 units, CD = 4 units, and AD = 7 units

Perimeter of the rectangle = sum of all its four sides

= AB + BC + CD + AD

= 4 + 7 + 4 + 7

= 22 units