A gardener is planning to fill her garden with mulch. She plots it on a grid to plan how much she will need. The garden is in the shape of a rectangle with vertices at (3,9), (5,9), (3,3), and (5,3). One bag of mulch covers 5 feet^2 and costs $5.00. How much will it cost her to cover her garden? Show all of your work.

Respuesta :

The area of a 2D form is the amount of space within its perimeter. The cost of covering the garden is $12.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

When all the coordinates are plotted it can be seen that the length of the rectangle is 2ft (5 - 3), while the width is 6ft (9 - 3). Therefore, the area of the field will be,

Area of the garden = 2ft × 6ft = 12ft²

Given the cost of one bag of mulch which covers 5 ft² is $5, therefore, the cost of covering a square ft of the garden will be,

Cost of covering a square feet = $5/5ft² =  $1 per sq. ft.

Now, since the area is 12 ft², the cost wil be,

Cost of covering the garden = 12 ft² × $1 = $12

Hence, the cost of covering the garden is $12.

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