Question

Write an expression for the perimeter of rectangle in terms of x.One side= 2xSecond side= x+3Is the formula p= 2L + 2w

Answer 1

Given:

The one side of a rectangle is, a = 2x.

The second sides of a rectangle is, b = x + 3.

The objective is to find the perimeter of the rectangle.

Step-by-step explanation:

The general formula of perimeter of rectangle is sum of all four sides.

`\begin{gathered} P=a+b+a+b \\ P=2a+2b \\ P=2(a+b)\text{ . . . . . . . (1)} \end{gathered}`

To find expression:

Now, substitute the given values in the equation (1).

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

Hence, the expression for perimeter of the rectangle is P = 6x + 6.