The perimeter of a rectangle is 80x. The base is 7 times the height. In terms of x, what are the dimensions of the rectangle?. A) h = 10x, b = 10x. B) H = 5x, b = 35x. C) H = 3x, b = 5x. D) h = 5x, b = 25x

The perimeter of a rectangle is given by P=2 (B+H) where b is the base and h is the height. b=7h That means that 80x=2 (7h+h) 80x=2 (8h)

80x=16h

80x/16=h

5x=h

b=7h

b=7 (5x)

b=35x

so

B. H = 5x, b = 35x is the right answer