Question 304957
2L+2W= perimeter = 30

L*w =Area = 50

L*W=50 l= 50/w

2L + 2W = 30

2*50/w +2W= 30

100/W + 2W=30

100+2W^2 / w = 30

100+2W^2= 30 W

2W^2-30W+100=0

W^2-15W+50=0

W^2-10W-5W+50=0

W(W-10)-5(w-10)=0

(W-5)(W-10)=0

W= 5 Or 10

The sides of the rectangle  are 5 by 10