Question

The perimeter of the rectangle below is 166 units. Find the length of side AB.Write your answer without variables.D4xС5x+2AB =0ХА

Answer 1

The working equation to find the perimeter of the rectangle is:

`P=2L+2W`

where L is the length of the rectangle and W is the width of the rectangle. Given the two sides of the rectangle and its parameter, we can rewrite the equation as:

`166=2(4x)+2(5x+2)`

Simplifying the equation and solve for x, we have:

`\begin{gathered} 8x+10x+4=166 \\ 18x=166-4 \\ (18x)/(18)=(162)/(18) \\ x=9 \end{gathered}`

For the side of AB that is the same as side AD, the measurement would be:

`AB=5(9)+2=47`

Answer: AB = 47