Question

The coordinates of the following points represent the vertices of a rectangle. E: (4,2) F: (10,2) G: (10,8) H: (4,8) What is the perimeter, in units, of rectangle EFGH?

Answer 1

Perimeter of rectangle EFGH = 24 unit

Explanation:

Given:

E: (4,2)

F: (10,2)

G: (10,8)

H: (4,8)

Find:

Perimeter of rectangle EFGH

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between EF = √(4 - 10)² + (2 - 2)²

Distance between EF = √36

Distance between EF = 6units

Distance between FG = √(10 - 10)² + (2 - 8)²

Distance between FG = √36

Distance between FG = 6 units

Distance between GH = √(10 - 4)² + (8 - 8)²

Distance between GH = √36

Distance between GH = 6 units

Distance between HE = √(4 - 4)² + (8 - 2)²

Distance between HE = √36

Distance between HE = 6 units

Perimeter of rectangle EFGH = 6 + 6 + 6 + 6

Perimeter of rectangle EFGH = 24 unit