The length of a rectangular room is 2 feet longer than twice the width. If the room's perimeter is 136 feet. A. width 44 feet; length 92 feet
B. width 33 feet: length 35 feet
C. width 27 feet; length 56 feet
D. width 22 feet: length 46 feet

 D.  width 22 feet: length 46 feet

Step-by-step explanation:

width:   w

length:  2w + 2

perimeter = 2L + 2W

136 = 2(2w + 2) + 2w

136 = 4w + 4 + 2w

136 = 6w + 4

132 = 6w

w = 22

width:   w = 22

length:  2w + 2 = 2(22) + 2 = 46

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2