The length of a football field is 67 yards greater than the width the perimeter of the field is 346 yard. find the length and width of the football field.

Hey. Let me help you on this one.

In order for us to solve this question, we will need to set up an equation with an unknown variable. We will then solve for it, thus receiving everything we need for the width and length of the football field. I will also be attaching an image with all the work shown, so make sure to take a look at it.

First of all, let's identify our total in the equation. In this case, if we add both length and width together, we will get one half of 346 - the perimeter due to the fact that perimeter calls for both widths, and both lengths of a rectangle. 

Let's form the equation which we will then solve.



In this equation, x stands for the width. You can also see "x+67", which is the length of the rectangle. Both these values are added together, and multiplied by two. Let's start solving.

Let's simplify this equation.



As you can see, we have multiplied the sum of all these numbers by two. Now, let's get rid of 134 on both sides.



In that step, I have deducted 134 from both sides. Now, let's get rid of four on both sides by dividing it.



Awesome! As we know, "x" is the width. Now, knowing the width, we can find the length simply by adding 67 to the variable x since length is 67 yards longer than the width.



Great! Our answer is formed.

Length of the rectangle is 120 yards, and width of the rectangle is 53 yards.