The perimeter of a rectangle is 36 meters. the length is 2 meters more than three times the width find the length of the rectangle

To start, create an equation comparing the length and width. As the question says the length is 2 more than 3 times width, you can set l=2+3w. Now, solve this equation for w, w=(l-2)/3. Next, write your equation for perimeter, p=2l+2w. Now, plug in your value for w and p, 36=2l+2((l-2)/3). Now, solve for l. 36=2l+2((l-2)/3), distribute the 2, 36=2l+(2l-4)/3, create a common denominator, 36=(6l+2l-4)/3, multiply by 3 on both sides, 108=8l-4, add 4 to both sides, 112=8l, divide both sides by 8, l=14. This means your length is 14 meters.