Question

A rectangular garden has one side with a length of x + 7 and another with a length 2x + 3. Find the perimeter of the garden.

Answer 1

A rectangular garden has one side with a length of x + 7 another with a length 2x + 3

We are asked to find the perimeter of the garden

Let me draw this rectangular garden to better understand the problem

Recall that the perimeter of a rectangular shape is given by

`P=2(W+L)`

Where W is the width and L is the length of the rectangular garden

Let us substitute the given values into the above formula

`P=2(x+7+2x+3)`

Now simplify the equation

`\begin{gathered} P=2(x+2x+7+3) \\ P=2(3x+10) \\ P=6x+20 \end{gathered}`

Therefore, the perimeter of the rectangular garden is equal to 6x + 20.