Respuesta :

Answer:L=x-1

Step-by-step explanation:

Perimeter of rectangle

=2(L+B)

P=10x-6

10x-6= 2(4x-2)+L)

Open the brackets

10x-6=8x-4+2L

Collect like terms

10x-8x=-4+6+2L

2x=2+2L

2x-2=2L

Divide through by 2

L=x-1

Length of the rectangle is L=x-1

Answer:

A x-1

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2 (l+w) where l is the length and w is the width

The perimeter is 10x -6  and the width is 4x-2

10x -6 = 2(l + 4x-2)

Divide each side by 2

10x/2 -6/2 = 2/2(l + 4x-2)

5x -3 = l +4x-2

Add 2 to each side

5x -3+2 = l +4x

5x -1 = l+4x

Subtract 4x from each side

5x -4x -1 = l+4x-4x

x -1 = l

The length is x-1