A rectangular garden has a length of 12 m and a width of 5 m. If a path of width

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Question: A rectangular garden has a length of 12 m and a width of 5 m. If a path of width 1 m is built around it, what is the area of the path?

Options:

Correct Answer: 60 m²

Solution:

Area of the garden = 12 × 5 = 60 m². Area of the garden with the path = (12 + 2) × (5 + 2) = 14 × 7 = 98 m². Area of the path = 98 - 60 = 38 m².

A rectangular garden has a length of 12 m and a width of 5 m. If a path of width 1 m is built around it, what is the area of the path?

A rectangular garden has a length of 12 m and a width of 5 m. If a path of width 1 m is built around it, what is the area of the path?

Step 1: Calculate the area of the rectangular garden. Use the formula: Area = Length × Width. Here, Length = 12 m and Width = 5 m. So, Area of the garden = 12 × 5 = 60 m².
Step 2: Determine the new dimensions of the garden including the path. The path is 1 m wide on all sides, so add 2 m to both the length and the width. New Length = 12 + 2 = 14 m and New Width = 5 + 2 = 7 m.
Step 3: Calculate the area of the garden including the path. Use the formula: Area = Length × Width. So, Area of the garden with the path = 14 × 7 = 98 m².
Step 4: Find the area of the path by subtracting the area of the garden from the area of the garden with the path. Area of the path = Area of the garden with the path - Area of the garden = 98 m² - 60 m² = 38 m².

Area Calculation – Understanding how to calculate the area of rectangles and the effect of adding dimensions.
Addition of Dimensions – Recognizing that the path adds to both the length and width of the garden.
Subtraction of Areas – Calculating the area of the path by subtracting the area of the garden from the total area including the path.