Arectangle on a coordinate plane has side lengths of 5 units and 4 units, so its diagonal is 41 units. the position of the rectangle is changed by a rigid transformation. what is the length of the diagonal of the transformed rectangle?

Length of the diagonal for transformed rectangle is 6.40 units.

Step-by-step explanation:

A rigid transformation is a translation of the image which has same dimensions.

We know that the “length of the rectangle” = 5 units and the width = 4 units.

The units may be any units of length: inches, cm, feet, miles, km etc.

Calculating “the area of the rectangle”:

Area of this rectangle = length x width (of length x breadth) = 5 × 4= 20 square units

Calculating the perimeter of the rectangle

Perimeter of this rectangle = 2 × (length + width) = 2 × (5+4) = 18 units

Calculating the length of the diagonal of the rectangle

The diagonal of this rectangle may be computed using Pythagorean theorem (or Pythagoras Theorem).  

Length of the diagonals = 6.40 units.

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110