Question

Hi i need help with questions 47-50 its in the image

Answer 1

For this problem, we are given the relationship between the length and width of the rectangle. We need to determine the value of the width for a perimeter of 120 centimeters.

The problem states that the length is 3 times the width, therefore we have:

`l=3\cdot w`

The perimeter of a rectangle is given by:

`P=2\cdot(w+l)`

For a value of 120 centimeters, we have:

`\begin{gathered} 120=2\cdot(w+l)\\ \\ 120=2\cdot(w+3w)\\ \\ 120=2\cdot(4w)\\ \\ 8w=120\\ \\ w=(120)/(8)=15 \end{gathered}`

The width of the rectangle is equal to 15 centimeters.