The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be: (a) 10 cm (b) 18 cm (c) 22 cm (d) 42 cm
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let it's 2 sides be a and b
ab = 20
a = 20/b
✓(a²+b²) = ✓41
a² + b² = 41
400/b² + b² = 41
b⁴ - 41b² + 400 = 0
b² = 16,25
b = 4,5 cm
a = 5,4cm
thus perimeter = 2(4+5)
= 18cm
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