To answer this problem we have to use two different variables. For example...
L = Length
W = Width
So we know that the definition of perimeter is
L + L + W + W (or all the sides added up)
Now we also know that The Length is 4 times longer than the width.
So we can write 4W to replace the L
So in the given equation we set up Replace every L with 4W
4W + 4W + W + W = 60 meters
now group our W's
10W = 60 divide both sides by 10 to get W to be alone
÷10 = ÷10 It cancels on the left side and we solve on the right side.
W = 6
So now that we know what the width equals we can find what the length equals .
Remember this?
4W = L (plug in 6 for W)
4(6) = L
So L = 24
Our dimensions of this rectangle are length 24, width 6.
Good Luck! :)
<3