The shaded area of the preceding figure represents a triangular flower bed. A homeowner wants to put decorative bricks around the flower bed. One side of the flower bed is 10 feet long and makes a 45° angle with a walkway that runs east to west. A second side runs parallel to the east-west walkway, and the third side makes a 30° angle with the east-west walkway. What is the perimeter in feet of the flower bed?

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<img alt='Images' src='https://www.fatskills.com/images3/gmat/f0235-01.jpg'><br>The shaded area of the preceding figure represents a triangular flower bed. A homeowner wants to put decorative bricks around the flower bed. One side of the flower bed is 10 feet long and makes a 45° angle with a walkway that runs east to west. A second side runs parallel to the east-west walkway, and the third side makes a 30° angle with the east-west walkway. What is the perimeter in feet of the flower bed?<br><img alt='Images' src='https://www.fatskills.com/images3/gmat/e0235-01.jpg'>