The combined area of both gardens is 72 square meters.
Step-by-step explanation:
Given,
Width of John's garden = 9 meters
Width of Sarah's garden = 6 meters
Let,
l be the length of John's garden.
Length of John's garden = l+2
It is given that area of both gardens is same,
Area of Sarah's garden = Area of John's garden
Length * Width = Length * Width
[tex]6*(l+2)=9*l\\6l+12=9l\\12=9l-6l\\12=3l\\3l=12[/tex]
Dividing both sides by 3
[tex]\frac{3l}{3}=\frac{12}{3}\\l=4[/tex]
Length of John's garden = 4 meters
Length of Sarah's garden = 4+2 = 6 meters
Combined area = Area of John's + Area of Sarah's
Combined area = (Length * Width) + (Length * Width)
Combined area = (4*9)+(6*6)
Combines area = 36+36 = 72 square meters
The combined area of both gardens is 72 square meters.
