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Proper answer with satisfactory explanation gets Brainliest.
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Answer:
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Step-by-step explanation:
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Let the rectangle be OABC with the vertex O at the origin.
Let OA be the longer side.
∴ The co-ordinate of O is O(0,0).
Since one of the vertex is in the third quadrant and the longer side of length 5 units lie on the x-axis, the co-ordinate of A is A(−4,0).
Also, the rectangle lie in the III quadrant.
∴ The side OC will lie on the y-axis to the negative direction.
Then, the length of OC is 3 units.
∴ The co-ordinates of C will be C(0,−3).
Then obviously, the co-ordinates of B will be (−4,−3).
Here, OC∥AB and ∠AOC=90
o
, hence is a rectangle.
⇒Therefore, the vertices of the rectangle are O(0,0),A(−4,0),B(−4,−3),C(0,−3).
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