Maxwell is walking in a meadow. First, he walks north for m and then northeast for m. From there he walks m south and then southeast for m. At that point, he turns and walks in a straight line back to his starting point. What is the area (to the nearest square meters) of the region enclosed by the path that Maxwell walked?

Source: NCTM Mathematics Teacher 2008

**SOLUTION**

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**Triangle is a right and isosceles triangle with hypotenuse .

Area of triangle

Triangle is a right and isosceles triangle with hypotenuse .

Area of triangle

Area of rectangle

Area of right triangle

Area of enclosed meadow

square meters

**Answer**: square meters