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Question

You are fertilizing a triangular garden. One side of the garden is 62 feet long and another side is 54 feet long. The angle opposite the 62 foot side is 58°. One bag of fertilizer covers an area of 200 square feet. How many bags of fertilizer will you need to cover the entire garden?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Number of bags of fertilizers of bags required = Area of Triangular garden (in square feet) $\div$ 200

Area of the triangular garden = $\dfrac{1}{2}\times a\times c\times sinB=\dfrac{1}{2}\times 70.4\times 54 \times sin58\text{\textdegree}=1612ft^2$

Therefore, I will need approximately $\dfrac{1612}{200}\approx 8$ bags

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