The vertices of a rectangle are located at the coordinates (2, 2), (2, 6), (5, 6), and (5,2). Find the length of the sides of the rectangle and its perimeter. help meeeee​

Respuesta :

Answer:

length of rectangle = 4 units

width of rectangle = 3 units

Perimeter of a rectangle = 14 units

Step-by-step explanation:

Properties of a rectangle:

  • Opposite sides are parallel and equal in length
  • Each interior angle is 90°

From inspection, we can see that (2, 2) and (2, 6) have the same x-values.  So (2, 6) is above (2, 2) on the same vertical line.  

To calculate the distance between them, find the difference between their y-values:  6 - 2 = 4

Therefore, one pair of sides of the rectangle are 4 units in length.

From inspection, we can see that (2, 6) and (5, 6) have the same y-values.  So (5, 6) is to the right of (2, 6) on the same horizontal line.  

To calculate the distance between them, find the difference between their x-values:  5 - 2 = 3

Therefore, the other pair of sides of the rectangle are 3 units in length.

Therefore:

  • length of rectangle = 4 units
  • width of rectangle = 3 units

Perimeter of a rectangle = 2 × length + 2 × width

                                         = 2 × 4 + 2 × 3

                                         = 8 + 6

                                         = 14 units

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