Chapter 1.2, Problem 33WE

To determine

To find: the perimeter of window.

Answer to Problem 33WE

  $16.28$

Explanation of Solution

Given:

The perimeter of window is given by the formula: $2\left(r+h\right)+\pi r$

Also $r=2$ , $h=3$ and $\pi =3.14$

Concept Used:

While solving the expressions, first perform the operations within the grouping symbol. Then start from the left and perform the multiplication or division as it appears in the expression on going towards right. After that again start from the left and perform the additions or subtractions as it appears in the expression on going towards right.

Substitute the values $r=2$ , $h=3$ and $\pi =3.14$ in the formula $2\left(r+h\right)+\pi r$ ,

  $\begin{array}{c}\text{Perimeter = }2\left(r+h\right)+\pi r\\ =2\left(2+3\right)+3.14\cdot 2\end{array}$

As there is a grouping symbol, so first perform the operation within parenthesis.

  $2\left(2+3\right)+3.14\cdot 2=2\left(5\right)+3.14\cdot 2$

So, first perform the multiplication in order from left to right, so the expression becomes:

  $\begin{array}{c}2\left(2+3\right)+3.14\cdot 2=10+3.14\cdot 2\\ =10+6.28\end{array}$

Lastly perform addition,

  $\begin{array}{c}2\left(2+3\right)+3.14\cdot 2=10+6.28\\ =16.28\end{array}$

Conclusion:

The perimeter of window is 16.28 units.