**Q:** 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 mural?

**A:** 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.

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