The perimeter of a rectangle is 80x. the base is two times the height. in terms of x, what are the dimensions of the rectangle? a. h = 10x; b = 10x c. h = 10.3x, b = 20.6x b. h = 13.3x; b = 26.6x d. h = 5x; b = 25x

By definition we have that the perimeter of a rectangle is given by:
 P = 2b + 2h
 Where,
 b: base
 h: height
 Also, as a data of the problem we have:
 base is two times the height:
 b = 2h
 Substituting we have:
 P = 2 (2h) + 2h
 Clearing h:
 6h = P
 h = P / 6
 h = (80x) / 6
 h = (40/3) x
 The base will be
 b = 2h
 b = (80/3) x
 
 the dimensions of the rectangle are
 b = (80/3) x
 h = (40/3) x
 b. h = 13.3x; b = 26.6x

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