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A triangular garden has a base of 20 meters and a height of 15 meters. A path 2 meters wide surrounds the garden. Find the area of the path.

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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