A) 20
B) 24
C) 28
D) 30
Correct Answer: A
Solution :
Here, it is given that \[A(-3,0)\] and \[C(5,2)\] are the endpoints of the diagonal AC of rectangle ABCD. Let us draw a figure as per given information. x - co-ordinate of B and C are same. y - co-ordinate of C and D are same. Co-ordinates of \[D=(-3,2)\] Since B is on x - axis, so y - co-ordinate of B will be 0, and x - co-ordinate of B and C are same. Co-ordinates of \[B:(5,0)\] Now, in rectangle ABCD \[AD=(2)-(0)=2\] \[\Rightarrow \] \[BC=AD=2\]. and \[CD=(5)-(-3)=8\] \[\Rightarrow \] \[AB=CD=8.\] Hence, perimeter of the rectangle \[ABCD=2(AB+BC)=2(8+2)=20\]You need to login to perform this action.
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