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Grace’s garden is shown below. She is going to buy bags of soil that cover 75 square feet each. How many bags of soil will she need for her entire garden? Use 3.14 for pi.

A. 4 bags

B. 5 bags

C. 6 bags

D. 7 bags

User AegisHexad
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1 Answer

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Answer: C. 6 bags

Explanation:

To solve this, you need to calculate the area of every shape in the garden and then sum them up.

Semi circle:

Area of semi-circle = (π * radius²) / 2

Radius = Diameter/ 2 = 18/2 = 9 feet

Area = (3.14 * 9²) / 2

= 127.17 ft²

Rectangle:

= Length * Width

= 18 * 8

= 144 ft²

Triangle

= 1/2 * base * height

= 1/2 * 18 * 18

= 162 ft²

Added up:

= 127.17 + 144 + 162

= 427.17 ft²

If each bag covers 75 ft² each, the number of bags needed is:

= Area to cover / Coverage per bag

= 427.17 / 75

= 5.7

= 6 bags

Grace’s garden is shown below. She is going to buy bags of soil that cover 75 square-example-1
User UnitStack
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