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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

### 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$$\frac{1}{2}$$

## Dicussion (1)

• 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$$\frac{1}{2}$$