The length of a rectangular mailing label is 2 centimeters less than twice the width. The perimeter is 68 centimeters. Find the dimensions of the label.

Width=12 cm

Length=22 cm

Step-by-step explanation:

Let the width be x

Length= 2 cm less than twice the width

=2x-2

Perimeter of a rectangle=2(length+width)

68=2{(2x-2)+x}

68=2(2x-2+x)

68=2(3x-2)

68=6x-4

68+4=6x

72=6x

Divide both sides by 6

72/6=6x/6

12=x

Width=12 cm

Length=2x-2

=2(12)-2

=24-2

=22 cm

529 and 531

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.