Question

Seth has a garden with dimensions 9 feet long times 8 feet wide he wants to enlarge the garden to an area of 120 ft.² how much farther will he need to extend the length of the garden to attain his desired area

Answer 1

6 feet

Explanation:

I am doing a quiz on freckle and it says:

That's correct!

6 feet

Sorry that this is late!!!

Answer 2

6 ft longer (total length of 15ft)

Explanation:

the initial dimensions are:

length:
`l=9ft`

width:
`w=8ft`

the area area of the garden is given by:

`a=l*w`

so the original area is:

`a=9ft*8ft=72ft^2`

Since we need the area to be
`120ft^2`, and we can only change the length, the width will still be 8ft.

We substitute the value of the new area and the width to the equation for the area:

`a=l*w\\120ft^2=l*8ft`

and we clear for the new length:

`l=(120ft^2)/(8ft)\\ \\l=15`

The length of the garden for the area to be
`120ft^2`, must be 15ft.

This means that if originally the length was 9 ft, now it has to be 6 ft longer.