The length of rectangular piece of metal is 7.5 cm
Solution:
Given that perimeter of a rectangular piece of metal is 24 cm
To find: length of rectangular piece of metal
From given question,
[tex]width = 4\frac{1}{2} = \frac{2 \times 4 + 1}{2} = \frac{9}{2} \text{ cm}[/tex]
The formula for perimeter of rectangle is given as:
perimeter = 2(length + width )
Substituting the given values we get,
[tex]24 = 2(length + \frac{9}{2})\\\\length + \frac{9}{2} = \frac{24}{2}\\\\ length = \frac{24}{2} - \frac{9}{2}\\\\length = \frac{24 - 9}{2}\\\\length = \frac{15}{2} = 7.5[/tex]
Thus length of rectangular piece of metal is 7.5 cm
