A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the field?

Hello,

Here in France we call length the greater side of a rectangle.

So:

Let a the greater side

b the shortest

a=b+13

a*b=1764

==>b * (b+13) = 1764

==>b²+13b-1764=0

==>b = (-13-85) / 2 to exclude

or (b = (-13+85) / 2=36 and a=36+13=49)

P=2 (a+b) = 2 (36+49) = 170 (m)

Proof:

49-36=13

36*49=1764