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A rectangle has length xcm and width (x - 1)cm. If the perimeter is 16cm. Find t...


Question

A rectangle has length xcm and width (x - 1)cm. If the perimeter is 16cm. Find the value of x

Options

A) 3\(\frac{1}{2}\)cm

B) 4cm

C) 4\(\frac{1}{2}\)cm

D) 5cm

The correct answer is C.

Explanation:

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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