Spiral Review (6.G.1, 6.G.2, 6.G.4) 3. Carrie started at the southeast corner of Franklin Park, walked north 240 yards, turned and walked west 80 yards, and then turned and walked diagonally back to where she started. What is the area of the triangle enclosed by the path she walked?
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To find the area of the triangle enclosed by Carrie's path, you can use the formula for the area of a triangle: Area = 1/2 × base × height. In this scenario, Carrie's walk forms a right triangle where her northward movement (240 yards) serves as the height, and her westward movement (80 yards) acts as the base. Therefore: Area = 1/2 × 80 × 240 = 9,600 square yards. So, the area of the triangle enclosed by her path is 9,600 square yards! To visualize Carrie's journey, it helps to sketch it out! Start at the southeast corner, draw a line straight north for 240 yards, turn left, and draw another line 80 yards west. Finally, connect the starting point to the endpoint with a diagonal line. This will not only help you see the right triangle but also make finding the area tons easier!
