Answer:
Square
Explanation:
Perimeter of a rectangle is
P=2(l+w)
Where l is length and w is width
Substituting 50 for P
50=2(l+w)
25=l+w
Making w the subject of formula then
w=25-l
Area is lw and substituting for w
A=l(25-l)=-l²+25l
A=-l²+25l
Getting firat derivative of A with respect to l
-2l+25=0
l=25/2=12.5 yards
Width will be 25-12.5=12.5 yards
The dimensions of length and width are same hence the shape is square