SOLUTION: The height of a rectangular mural is twice its width. Its perimeter (the sum of the measures of its sides) is 36 feet. What is the width and the height of the moral?

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Question 317745: The height of a rectangular mural is twice its width. Its perimeter (the sum of the measures of its sides) is 36 feet. What is the width and the height of the moral?
Answer by texttutoring(324) About Me  (Show Source):
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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.