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Sophia wanted to increase the area of her vegetable garden she extended the length from 10 feet to 30 feet how many times larger is the are of the garden

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Answer:

The new area of garden is 3 times of the initial area of the garden.

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


A=l* w

The initial area of the garden is


A_0=10* w


A_0=10w

The new length of the garden is 30 feet. So, the new area of the garden is


A_1=30* w


A_1=30w

Let area of garden is k times larger than the initial area.


A_1=k* A_0


30w=k* 10w

Divide both sides by 10w.


k=3

Therefore new area of garden is 3 times of the initial area of the garden.

User Sigrid
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