Question 317745
Let h=height
Let w=width
Let P=Perimeter


Height is twice the width:

h = 2w

The formula for perimeter is:

P = 2w + 2h


Substitute h=2w instead of h:


P = 2w +2(2w)


Now substitute P=36 and solve for w:

36 = 2w + 2(2w)
36 = 2w + 4w
36 = 6w
w = 6


The width is 6.


h=2w
h=2(6)
h=12


Width is 6 feet, height is 12 feet.