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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