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ra1l [238]
3 years ago
8

The diagram represents the shape and dimensions of Kayla's garden. A special fertilizer is used for the vegetable garden. Each b

ag 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

Mathematics
2 answers:
Dmitry [639]3 years ago
4 0

Answer:

B) 18 bags

Step-by-step explanation:

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

Area of a rectangular garden is given by :

Area=Length \times 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\times9

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,

\frac{1}{12}= \frac{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.

Serjik [45]3 years ago
3 0

Answer:

B. 18 bags

Step-by-step 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\times W

So let's solve it:

A = L\timesW\\A = 24 ft\times9ft\\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:

\dfrac{214ft^2}{12ft^2/bag}=18\;bags

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