Chapter 9.6, Problem 48STP

To determine

The perimeter of the square picture

Answer to Problem 48STP

The perimeter of the square picture is $P=112$

Option J is correct

Explanation of Solution

Given information:

Ayana placed circular piece of paper on a square picture and if the picture extends 4 inches beyond the circle on each sides

  

Concept used:

• The formula perimeter of square: $P=4a$
• Where D is the diameter of the circle

Calculation:

To find the perimeter of the square we see that the square picture extends 4 inches beyond the circle as below:

  $\begin{array}{c}a=20\\ \text{extends}\text{4}\text{inches than}\\ a=20+8\\ a=28\\ \text{perimeter of square}:\\ P=4a\\ =4\times 28\\ P=112\end{array}$

Thus, the perimeter of the square picture is $P=112$

Option J is correct