Another important application of the Pythagorean Theorem involves determining the perimeter of polygons.
The Flowerbed Problem
Rosemary wants to plant a tulip garden in her backyard. She needs to build a triangular flowerbed using landscaping timbers. How many feet of landscaping timbers does Rosemary need to purchase?
Use the Pythagorean Theorem to set up an equation for x.
Now that you have correctly set up your equation, solve for x.
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x = 10 yards
You may have solved for x, but that does not mean we have answered the question yet. Remember that the problem asked us to determine the total length of landscaping timbers that Rosemary must purchase for her flowerbed.
Use the information you know to determine the total length of landscaping timbers that Rosemary must purchase in order to completely surround her flowerbed.
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The attribute of a polygon that describes the length around the edges of the polygon is the perimeter.
Use the grid below to record your answer. Type your answer in the boxes in front of and behind the decimal. Click inside each box to enter the numeral that belongs in the box, and then click the bubble beneath the numeral to shade the bubble that matches the numeral. After hitting the "Submit" button, incorrect portions of your answer will be shaded gray.