Answer:
152 m²
Step-by-step explanation:
Area of flower garden
Assuming the flower garden is rectangular and its dimensions are measured in meters:
- width of garden = 14 m
- length of garden = 20 m
[tex]\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\\implies \textsf{Area of flower garden} & = \sf 14 \times 20\\& = \sf 280\:\:m^2 \end{aligned}[/tex]
Total area of path and garden
If there is a 2 m wide path all around the garden, the dimensions of the total area will be the dimensions of the garden extended by 4 m:
- width = 14 m + 2 m + 2 m = 18 m
- length = 20 m + 2 m + 2 m = 24 m
[tex]\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\\implies \textsf{Total area} & = \sf 18 \times 24\\& = \sf 432\:\:m^2 \end{aligned}[/tex]
Area of path
To calculate the area of the path, subtract the area of the garden from the total area:
[tex]\begin{aligned}\implies \textsf{Area of path} & = \sf Total\:area-Area\:of\:garden\\& = \sf 432-280\\& = \sf 152\:\:m^2 \end{aligned}[/tex]
