A garden is twice as long as it is wide. It is bordered on all sides by a path that is 1.5 meters wide. The total area of the path is 54 square meters. Find the dimensions of the garden.

Answer 1

L=2W

garden area = LW = 2WW = 2W^2

path border around the garden is 1.5 meters wide, area= 54 m^2

54 = (L+3)(W+3) -LW= (2W+3)(W+3)-2W^2 = 2W^2+9W +9-2W^2

9W =45

W=45/9 = 5 meters Wide garden

L= 2W = 10 meters Long garden

garden path area = 4(1.5^2) + 2(1.5)10 + 2(1.5)5

= 4(2.25)+30+15

=9+45 = 54 m^2