The perimeter is equal to 2 times the length plus 2 times the width
We can use the equation p = 2l + 2w, where l is the length and w is the width
Since the length is 2x, we can plug 2x in for l
Same with width. We can plug in 3x+2 as w
p = 2(2x) + 2(3x+2)
Multiply it out. For 2(3x+2), distribute 2 to both 3x and 2.
p = 4x + 6x + 4
Combine like terms.
p = 10x + 4
Since the perimeter is 74 inches, we can plug in 74 as p
74 = 10x + 4
Subtract 4 from both sides
70 = 10x
Divide both sides by 10
7 = x
