Given:
The longer sides of a rectangular garden = 15 feet
It were 3 times longer than the shorter sides.
To find:
The total distance covered by Zack if he walked all the way around the garden.
Solution:
Let the shorter side be x.
Longer side = 15 feet
According to given equation, longer side is 3 times longer than the shorter sides.
![15=3x](https://img.qammunity.org/2021/formulas/mathematics/high-school/966ceqv2a2151xsd3yoxb9gawo7tidpdkp.png)
Divide both sides by 3.
![5=x](https://img.qammunity.org/2021/formulas/mathematics/high-school/uzj6sjhhakbk6pjb2daalvgmz0jtksrdc2.png)
So, the measure of shorter side is 5 feet.
The total distance covered by Zack if he walked all the way around the garden is the perimeter of the garden.
Perimeter of rectangular garden is
![Perimeter=2(length +width)](https://img.qammunity.org/2021/formulas/mathematics/high-school/zo6b3l0ctpo09fln6ysw0fbt0h3kl5fj3f.png)
![Perimeter=2(15 +5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/aeviwwpxnkynyvam2obvjh6acsk2lp6ph2.png)
![Perimeter=2(20)](https://img.qammunity.org/2021/formulas/mathematics/high-school/g69t0hudnl0nwja299xj8i4afkzla7oxj5.png)
![Perimeter=40](https://img.qammunity.org/2021/formulas/mathematics/high-school/2ty40bboeln72xjrxupinjz4im1tqtr3mc.png)
Therefore, the total distance covered by Zack is 40 feet.