Question

The width of a rectangle is 5n - 4.5 feet and the length is 4.5n+ 5 feet. Find the perimeter of therectangle....The perimeter of the rectangle isfeet.

Answer 1

Perimeter = 19n + 1

Step-by-step explanation:

We were given the following information:

The figure is a rectangle

Width = (5n - 4.5) feet

Length = (4.5n + 5) feet

The perimeter of a rectangle is given by:

`\begin{gathered} Perimeter=2(length+width) \\ Perimeter=2(4.5n+5+5n-4.5) \\ Perimeter=2(4.5n+5n+5-4.5) \\ Perimeter=2(9.5n+0.5) \\ \text{Expanding the bracket, we have:} \\ Perimeter=2*9.5n+2*0.5 \\ Perimeter=19n+1 \\ \\ \therefore Perimeter=19n+1 \end{gathered}`

Therefore, the perimeter of the rectangle is: 19n + 1