Answer:
The new area of garden is 3 times of the initial area of the garden.
Step-by-step explanation:
The initial length of the garden is 10 feet.
The shape of the garden must be a rectangle and the area of rectangle is
[tex]A=l\times w[/tex]
The initial area of the garden is
[tex]A_0=10\times w[/tex]
[tex]A_0=10w[/tex]
The new length of the garden is 30 feet. So, the new area of the garden is
[tex]A_1=30\times w[/tex]
[tex]A_1=30w[/tex]
Let area of garden is k times larger than the initial area.
[tex]A_1=k\times A_0[/tex]
[tex]30w=k\times 10w[/tex]
Divide both sides by 10w.
[tex]k=3[/tex]
Therefore new area of garden is 3 times of the initial area of the garden.
