Question

The perimeter of the rectangle below is units. Find the value of .

Answer 1

We have been given the primeter of the rectangle as 172 units. We want to find the value of x. To do this we have to add up all the sides and equate it to 172, we have

`2(3x-1)+2(4x+3)=172`

Note that we have to multiply both sides by 2 because there are two lengths and two widths of equal sides. Solving for x, we have

`\begin{gathered} 2(3x-1)+2(4x+3)=172 \\ 6x-2+8x+6=172 \\ collecting\text{ like terms } \\ 6x+8x+6-2=172 \\ 14x+4=172 \\ 14x=172-4 \\ 14x=168 \\ x=(168)/(14) \\ x=12 \end{gathered}`

Hence the answer is 12