Question

The diagram represents the shape and dimensions of Kayla's garden. A special fertilizer is used for the vegetable garden. Each bag of fertilizer covers 12 square feet. How many bags will it take to cover the vegetable garden? A)9 bags B)18 bags C)24 bags

Answer 1

B) 18 bags

Explanation:

Firstly,we need to find the area of only the vegetable garden.

Area of a rectangular garden is given by :

`Area=Length * Width`

From the picture, it can be inferred that,

the dimension of the vegetable garden is:

24 by 9

This implies that,

Length=24 feet

Width=9 feet

Substituting this into the formula, we obtain

`Area=24*9`

`Area=216square\:feet`

it is stated in the question that each bag of special fertilizer bag covers 12 square feet.

using ratio,

1 bag:12square feet

x bag:216squaure feet

This implies,

`(1)/(12)= (x)/(216)`

By cross multiplying , we obtain

`12x = 216`

Divide both sides by 12

`x=18`

Hence, it will take18 bags of the special fertilizer to

cover the vegetable garden.

Answer 2

B. 18 bags

Explanation:

First you need to determine the area of the vegetable garden. The vegetable garden is a rectangle with the following dimensions:

L = 24 ft

W = 9 ft

The Formula for the area of a rectangle is:

`A = L* W`

So let's solve it:

`A = L*W\\A = 24 ft*9ft\\A= 216ft^(2)`

With that, we can figure out how many bags of fertilizer would be needed by dividing the area of the vegetable garden by how much one bag of fertilizer covers:

`(214ft^2)/(12ft^2/bag)=18\;bags`