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

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c