Question

the perimeter of a rectangular garden is 460 m and its area is 12000 m square. find the length and the breadth of the garden

Answer 1

Answer:

150 & 80 m

Step-by-step explanation:

Let say length & breadth are   L  & B  m respectively

Area = LB = 12000 m^2

Perimeter = 2 (L + B) = 460

L+B = 230

B = 230 - L

L (230-L) = 12000

230L - L^2 = 12000

L^2 - 230L + 12000 = 0

L^2 - 80L - 150L + 12000 = 0

(L-80)(L-150) = 0

L = 80  or 150 m

B = 230-80  or 230-150  

B = 150 or 80 m