Zack measured a rectangular garden at the park. The longer sides each measured 15 feet and were 3 times longer than the shorter sides. If Zack walked all the way around the garden, how far did he walk?

Respuesta :

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.

[tex]15=3x[/tex]

Divide both sides by 3.

[tex]5=x[/tex]

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

[tex]Perimeter=2(length +width)[/tex]

[tex]Perimeter=2(15 +5)[/tex]

[tex]Perimeter=2(20)[/tex]

[tex]Perimeter=40[/tex]

Therefore, the total distance covered by Zack is 40 feet.