Answer:
flower bed = 157.04 [tex]m^{2}[/tex]
grassy path = 202 [tex]m^{2}[/tex]
Step-by-step explanation:
If you draw this out, it's basically a rectangle inside a rectangle inside a rectangle. I'm going to call those rectangles A, B, and C. with A being the smallest and C being the biggest.
first we need to find the area of A, B, and C.
A will be easy because we're already given that its 15x10
Area A = 150 [tex]m^{2}[/tex]
To find area B, we need to add the 2.6 pathway to all the sides, so it'll be:
length: 15+2.6(2) = 20.2 m
width: 10+2.6(2) = 15.2 m
Area B = 307.04 [tex]m^{2}[/tex]
Then we do the same for area C but with 2.5 m.
length: 20.2+2.5(2) = 25.2 m
width: 15.2+2.5(2) = 20.2 m
Area C = 509.04 [tex]m^{2}[/tex]
To find the area of just the flower bed, we need to subtract area A from area B, then to find grassy path we need to subtract area B from area C.
flower bed: 307.04-150 = 157.04 [tex]m^{2}[/tex]
grassy path: 509.04-307.04 = 202 [tex]m^{2}[/tex]
