A farmer enclose a rectangular paddock with 120 metres of fencing. The length of the paddock is 10m longer than it is wide. Find the dimensions of the paddock?
L = length of the paddock
W = wide of the paddock
The length of the paddock is 10m longer than it is wide mesns:
L = W + 10
P = perimeter of a rectangle
P = 2 ( W + L )
In this case:
P = 120 m
L = W + 10
so
P = 2 ( W + L )
120 = 2 ( W + W + 10 )
120 = 2 ( 2 W + 10 )
Divide both sides by 2
60 = 2 W + 10
Subtract 10 to both sides
50 = 2 W
W = 50 / 2
W = 25 m
L = W + 10 = 25 + 10
L = 35 m