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Sagot :
Step-by-step explanation:
Of course, let's calculate the area of the path surrounding the triangular garden in a detailed step-by-step manner:
Step 1: Calculate the area of the outer rectangle
1.1. Calculate the length of the outer rectangle:
- Length = Base of the triangular garden + 2*Width of the path
- Length = 20 meters + 2*2 meters = 20 meters + 4 meters = 24 meters
1.2. Calculate the width of the outer rectangle:
- Width = Height of the triangular garden + 2*Width of the path
- Width = 15 meters + 2*2 meters = 15 meters + 4 meters = 19 meters
1.3. Calculate the area of the outer rectangle:
- Area = Length x Width
- Area = 24 meters x 19 meters = 456 square meters
Step 2: Calculate the area of the triangular garden
2.1. Calculate the area of the triangular garden:
- Area = 0.5 x Base x Height
- Area = 0.5 x 20 meters x 15 meters = 150 square meters
Step 3: Calculate the area of the path
3.1. Calculate the area of the path:
- Area = Area of the outer rectangle - Area of the triangular garden
- Area = 456 square meters - 150 square meters = 306 square meters
Therefore, the area of the path surrounding the triangular garden is 306 square meters.
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