Question

sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width

Answer 1

Answer:

Length: 12 meters

Step-by-step explanation:

Step 1:

Let us start with the formula of the perimeter of a rectangle, $P=2l+2w$, where l represents the length of the rectangle, and w represents the width of the rectangle.

We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.

Step 2:

We can now write our equation and solve for x :

$24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}$

We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be $\fbox{12}$ meters.

I hope this helps! Let me know if you have any questions :)