Problema Solution
The length of a rectangular field is twenty meters more than its width. I the fencing cost $3.15 per meter, and the total cost of the fence was $1386, what is the area of the field?
Answer provided by our tutors
let
l = the length of the fiel
w = the width of the field
the length of a rectangular field is twenty meters more than its width
l = w + 20
the total length of the fence = perimeter of the rectangle = 2(l + w)
since the fencing cost is $3.15 per meter the total cost of 2(l + w) meters will be 3.15*2(l + w) thus
3.15*2(l + w) = 1386
by solving the system of equations
l = w + 20
3.15*2(l + w) = 1386
we find
l = 120 m
w = 100 m
click here to see the step by step solution of the system of equations
the area of the field A is calculated by the formula for area of rectangle A= l*w
A = 120*100
A = 12,000 m^2
the area of the field is 12,000 m^2.