Question

A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide. If one bag of gravel covers 10 square feet, how many bags are needed to cover the path? Round your answer to the nearest tenth. NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. ​

Answer 1

`\displaystyle 4`

Explanation:

we are given that A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide.since together the width of Vegetable garden and path is 11 ft, the width of the vegetables garden will be the difference between the total width and the width of path Thus,

`\displaystyle \rm W _( garden) = 11 - 2`

simplify substraction:

`\displaystyle \rm W _( garden) = 9`

recall that, every single side of a square is equal to each other therefore the the area of the garden will be

`\displaystyle {9}^(2)`

simplify square:

`\displaystyle 81`

together the garden and path makes a square of every side length 11 ft saying that the area will be:

`\displaystyle {11}^(2)`

simplify square:

`\displaystyle 121`

the area of path will be the difference between the total area and the garden area therefore,

`\displaystyle 121 - 81`

simplify addition:

`\displaystyle 40`

to figure out how many bags are needed to cover the path. we just need to divide the area of the path by the area of a bag of gravel and that yields:

`\displaystyle (40)/(10)`

simplify division:

`\displaystyle \boxed{\rm4}`

hence,

4 bags are needed to cover the path.