Question

14. What is the value of x if the perimeter of each rectangle is the same? 4x - 1.2 5x - 1.3 0.1 2x + 0.3

Answer 1

we have the following:

`p=2\cdot l+2\cdot w`

therefore:

`\begin{gathered} 2\cdot(5x+1.3)+2\cdot(2x+0.3)=2\cdot(4x-1.2)+2\cdot(4x-0.1) \\ 10x+2.6+4x+0.6=8x-2.4+8x-0.2 \\ 8x+8x-10x-4x=2.6+0.6+2.4+0.2 \\ 2x=5.8 \\ x=(5.8)/(2) \\ x=2.9 \end{gathered}`

therefore, the value of x is 2.9