Chapter 1.4, Problem 56STP

To determine

Out of the given expressions, which expression can be used to find the perimeter of the given rectangle.

Answer to Problem 56STP

  $G2x+14$

Explanation of Solution

Given information:

The rectangle,

  

Concept Used:

Perimeter of rectangle, $P=2\left(\text{Length }+\text{ Width}\right)$

Distributive property:

  $a\left(b+c\right)=ab+ac$

  $\left(b+c\right)a=ba+ca$

Calculation:

Observe that the length of the given rectangle is 7 units and width is x units.

So, using the perimeter of the rectangle formula, the perimeter of the given rectangle is given by

  $\begin{array}{c}P=2\left(\text{Length }+\text{ Width}\right)\\ =2\left(x+7\right)\\ =2\cdot x+2\cdot 7\\ =2x+14\end{array}$

Thus, the perimeter of the given rectangle is given by the expression $G2x+14$ .