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devlian [24]
3 years ago
9

What is the area of rectangle ABCD with vertices A -3,0 B 3,2 C 4,-1 D -2,-3

Mathematics
1 answer:
Naddik [55]3 years ago
7 0

For this, simply find the width and length by finding the distance between the two points. This can be done using the equation \sqrt{(y2 - y1)^2 + (x2 - x1)^2}

AB(length): \sqrt{(0 - 2)^2 + (3 - (-3))^2}

--> \sqrt{-2^2 + 6^2}

---> \sqrt{40} = 6.32

BC(width): \sqrt{(2 - (-1))^2 + (4 - 3)^2

--> \sqrt{(2 + 1)^2 + 1^2}

---> \sqrt{27 + 1}

----> \sqrt{28} = 5.29 ≈ 5.3

Area = 33.496 ≈ 33.5

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