Question 641388
To solve, we need to turn each sentence into an equation.  The first sentence says that the perimeter of a rectangular field is 340 meters. The perimeter of a rectangle is twice the length plus twice the height.  So, for the first sentence:

2L + 2W = 340

The next sentence says the length is 13 meters longer than the width.  In other words,

L = W + 13

So, to find the width, we will substitute L in the first equation with W + 13:

2(W + 13) + 2W = 340

Using the distributive property, multiply 2 by W + 13, which is 2W + 26.  Now we have:

2W + 26 + 2W = 340

Combining like terms on the left side of the equal sign gives us:

4W + 26 = 340

Next, subtract 26 from both sides of the equal sign:

4W + 26 - 26 = 340 - 26 =

4W = 314

Finally, divide both sides by 4, which will get W by itself:

{{{4W/4 = 314/4}}}

This leaves us with our width:

W = 78.5 meters

We know that the length is 13 meters longer than the width, so 78.5 + 13 = 91.5

FINAL ANSWER: Length - 91.5m  Width - 78.5m