Question

sandy has a garden in her backyard. the drawing shows the dimensions of her garden. a bag of fertilizer covers 3 square feet. how many bags of fertilizer will sandy need to cover her garden? the area of the garden is dropdown feet². sandy will need dropdown bags of fertilizer to cover her garden. (image shows a triangle with height 4 ft and base 6 ft? wait, no, the dashed line is 6 ft, and the vertical side is 4 ft. likely a triangle with base 4 ft and height 6 ft or vice versa.)

Explanation:

Step1: Calculate the area of the triangular garden

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base is \(4\) ft and the height is \(6\) ft. So, \(A = \frac{1}{2}\times4\times6\).

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Step2: Determine the number of fertilizer bags

Since one bag covers \(3\) square feet, the number of bags \(n=\frac{Area}{3}\). Substitute \(A = 12\) into the formula: \(n=\frac{12}{3}\).

$$ n=\frac{12}{3}=4 $$

Answer:

The area of the garden is \(12\) feet². Sandy will need \(4\) bags of fertilizer to cover her garden.