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A rectangle has length xcm and width x - 1 cm I... - WAEC Mathematics 2010 Question

A rectangle has length xcm and width (x - 1)cm. If the perimeter is 16cm. Find the value of x
A
3\(\frac{1}{2}\)cm
B
4cm
C
4\(\frac{1}{2}\)cm
D
5cm
correct option: c
l = x; b = x - 1

perimeter = 2(l + b) = 16

l + b = \(\frac{16}{2}\) = 8

l + b = 8

x + x - 1 = 8

2x = 8 + 1

2x = 9

x = \(\frac{9}{2}\)cm

x = 4\(\frac{1}{2}\)
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