A rectangular garden is 10 m long and 6 m wide. If a path of width 1 m is built

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Question: A rectangular garden is 10 m long and 6 m wide. If a path of width 1 m is built around it, what is the area of the path? (2023)

Options:

Correct Answer: 36 m²

Exam Year: 2023

Solution:

Area of the garden = 10 * 6 = 60 m². Area including the path = (10 + 2) * (6 + 2) = 12 * 8 = 96 m². Area of the path = 96 - 60 = 36 m².

A rectangular garden is 10 m long and 6 m wide. If a path of width 1 m is built around it, what is the area of the path? (2023)

A rectangular garden is 10 m long and 6 m wide. If a path of width 1 m is built around it, what is the area of the path? (2023)

Step 1: Calculate the area of the rectangular garden. The formula for the area of a rectangle is length multiplied by width. Here, the length is 10 m and the width is 6 m. So, Area of the garden = 10 m * 6 m = 60 m².
Step 2: Determine the dimensions of the garden including the path. The path is 1 m wide on all sides, so we need to add 2 m to both the length and the width (1 m on each side). New length = 10 m + 2 m = 12 m. New width = 6 m + 2 m = 8 m.
Step 3: Calculate the area including the path. Use the new dimensions: Area including the path = 12 m * 8 m = 96 m².
Step 4: Find the area of the path by subtracting the area of the garden from the area including the path. Area of the path = Area including the path - Area of the garden = 96 m² - 60 m² = 36 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.