A rectangular carpet has an area of 120 sq. meters and a perimeter of 46 meters. The length of its diagonal is--

A 15 m
B 17 m
C 16m
D 20 m

Correct Answer: 15 m

Let, Length = x Breadth = y 2x + y = 46∴x + y = 23……iand xy = 120∴x + y2 = x + y2 - 4xy = 232 - 4×120 = 49∴x - y = 7……iiNow, i + iix + y = 23x - y = 7∴x = 15∴y = 8∴ Diagonal  = x2y2                       = 152 + 82                       = 17
Bissoy MCQ
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