Question 709378
(Eq 1) P = 2L + 2W = 30 

(Eq 2) A = LW = 56 

From (Eq 1):  L + W = 15 or L = 15 - W (Eq 3)

Substitute (Eq 3) into (Eq 2): (15 - W)W = 56 = 8(7)= (15 - 7)7 (Eq 4)

So the width is 7 by inspection of (Eq 4)and from (Eq 1), the length is 8.

QED