karthikpandian19 wrote:In rectangle WXYZ above, what is the perimeter of rectangle CXYD? (Refer image)
The area of CXYD is 32.
The perimeter of CXYD is one-half the perimeter of WXYZ.
Statement 1: The area of CXYD = 32.
It's possible that CX=32 and XY=1, yielding p = 2(32+1) = 66.
It's possible that CX=16 and XY=2, yielding p = 2(16+2) = 36.
INSUFFICIENT.
Statement 2: The perimeter of CXYD is 1/2 the perimeter of WXYZ.
The perimeter of CXYD = 2(CX + XY)
The perimeter of WXYZ = 2(WC + CX + XY).
Since the first perimeter is 1/2 the second, we get:
2(CX + XY) = (1/2)(2)(WC + CX + XY)
2(CX) + 2(XY) = WC + CX + XY
WC = CX + XY.
No way to determine the perimeter of CXYD.
INSUFFICIENT.
Statements 1 and 2 combined:
It's possible that CX=32, XY=1, and WC=32+1=33, in which case the perimeter of CXYD = 2(32+1) = 66 and the perimeter of WXYZ = 2(32+1+33) = 132.
It's possible that CX=16, XY=2, and WC=16+2=18, in which case the perimeter of CXYD = 2(16+2) = 36 and the perimeter of WXYZ = 2(16+2+18) = 72.
Since different perimeters are possible, INSUFFICIENT.
The correct answer is
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