Find the perimeter of the rectangle shown below

Since the triangle is a right triangle, we can use the pythagorean theorem to solve for the one remaining side.

Plug in your values

a = 9

b = ?

c = 15

9^2 + b^ = 15^2. Square root 9 and 15

81 + b^2 = 225. Subtract 81 from each side.

b^2 = 144. Take the square root of each side.

b = 12.

Now we know the length and width of the rectangle.

Perimeter = 2(12 + 9)

Perimeter = 42 in

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