Answers

1. Answer:

   length = 24 meters
   breadth = 16 meters

   Step-by-step explanation:

   Let L be length and B be breadth

   From the first fact we get the equation
   L = B + 8         (1)

   We know that perimeter = 2(L+B) and this is given as 80

   So 2(L+B) = 80

   L + B = 80/2 = 40
   or
   L = 40 – B              (2)

   If we add equations (1) and (2) we can eliminate B

   We get 2L = B + 8 + 40 – B =48

   L = 48/2 = 24

   Substituting for L in equation (1) we get

   24 = B + 8  ==>

   B = 24-8 =16

   Cross-check

   Perimeter = 2 (L+B) = 2(24 + 16) = 2(40) = 80

   Hence check OK

   Reply