Question

30 POINTS !!!

Suzanne wants to put a fence around her square garden. If the garden covers an area of 100 ft2, how many feet of fencing does she need?

Answer 1

the squarefoot of 100 = 10ft
and there are 4 sides to a square so 10+10+10+10=40ft of fencing

Answer 2

Suzanne needs
`40\ ft` of fencing

Explanation:

Step 1

we know that

The area of a square is equal to

`A=b^(2)`

where

b is the length side of the square

In this problem we have

`A=100\ ft^(2)`

substitute and solve for b

`100=b^(2)`

square root both sides

`1b=10\ ft`

Step 2

Find the perimeter of the square garden

The perimeter of the square is equal to

`P=4b`

we have

`1b=10\ ft`

substitute

`P=4(10)=40\ ft`