Question

you plan to make a new fenced area in your back yard for your dog. the length of each side of the new dog area is shown in meters in the diagram below. what is the perimeter of the new dog area? 29 meters 26 meters 23 meters 20 meters

Explanation:

Step1: Find the missing vertical side

By observing the figure, the missing vertical side is \(3 + 3=6\) meters.

Step2: Find the missing horizontal side

The missing horizontal side is \(7-(3 + 4)=0\) meters (but we can also use the property of perimeter for composite - like shapes. The sum of all horizontal sides: \(7+7 = 14\) meters. The sum of all vertical sides: \(6+6=12\) meters.

Step3: Calculate the perimeter

The perimeter \(P\) of the figure is the sum of all its outer - side lengths. Using the formula \(P=\text{sum of horizontal sides}+\text{sum of vertical sides}\). So \(P=(7 + 7)+(6+6)=26\) meters.

Answer:

26 meters