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Answer: Choice D) 100 square meters</h3>
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Explanation:
Refer to the diagram below.
Use the distance formula to find the distance from A to B
A = (9,0)
B = (17,6)
![d = \text{distance from A to B}\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(9-17)^2+(0-6)^2}\\\\d = \sqrt{(-8)^2+(-6)^2}\\\\d = \sqrt{64+36}\\\\d = \sqrt{100}\\\\d = 10\\\\](https://tex.z-dn.net/?f=d%20%3D%20%5Ctext%7Bdistance%20from%20A%20to%20B%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%289-17%29%5E2%2B%280-6%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%28-8%29%5E2%2B%28-6%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B64%2B36%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B100%7D%5C%5C%5C%5Cd%20%3D%2010%5C%5C%5C%5C)
Segment AB is 10 units long.
Repeat the distance formula to find that segment BC is 15 units long.
That makes the area of red rectangle ABCD to be 10*15 = 150 square meters.
Again, using the distance formula, you should find that EF = 5 and FG = 10, so the area of the blue rectangle EFGH is 5*10 = 50 square meters
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The border area is the difference of the two rectangle areas
border area = (red rectangle area) - (blue rectangle area)
border area = (150) - (50)
border area = 100 square meters
That's why the answer is choice D