Question

The perimeter of a rectangular piece of metal is 24 cm. It is 4 1/2cm wide. How long is it?

Answer 1

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,

`width = 4(1)/(2) = (2 * 4 + 1)/(2) = (9)/(2) \text{ cm}`

The formula for perimeter of rectangle is given as:

perimeter = 2(length + width )

Substituting the given values we get,

`24 = 2(length + (9)/(2))\\\\length + (9)/(2) = (24)/(2)\\\\ length = (24)/(2) - (9)/(2)\\\\length = (24 - 9)/(2)\\\\length = (15)/(2) = 7.5`

Thus length of rectangular piece of metal is 7.5 cm