A rectangular garden is 15 m long and 10 m wide. If a path of 1 m width is built

A rectangular garden is 15 m long and 10 m wide. If a path of 1 m width is built around it, what is the area of the path?

A rectangular garden is 15 m long and 10 m wide. If a path of 1 m width is built around it, what is the area of the path?

Correct Answer: 54 m²

Step 1: Identify the dimensions of the garden. The garden is 15 meters long and 10 meters wide.
Step 2: Calculate the total dimensions of the garden including the path. Since the path is 1 meter wide on all sides, add 2 meters to both the length and the width. So, the new length is 15 + 2 = 17 meters and the new width is 10 + 2 = 12 meters.
Step 3: Calculate the total area of the garden including the path. Use the formula for area (length × width). So, the total area is 17 × 12 = 204 square meters.
Step 4: Calculate the area of the garden without the path. Use the formula for area (length × width). So, the area of the garden is 15 × 10 = 150 square meters.
Step 5: Find the area of the path by subtracting the area of the garden from the total area. So, the area of the path is 204 - 150 = 54 square meters.

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.