A rectangular garden is 30 meters long and 20 meters wide. If a path of 1 meter

₹0.0

Question: A rectangular garden is 30 meters long and 20 meters wide. If a path of 1 meter width is built around it, what is the area of the path?

Options:

Correct Answer: 100 m²

Solution:

Area of the garden = 30 × 20 = 600 m². Area including the path = (30 + 2) × (20 + 2) = 32 × 22 = 704 m². Area of the path = 704 - 600 = 104 m².

A rectangular garden is 30 meters long and 20 meters wide. If a path of 1 meter width is built around it, what is the area of the path?

A rectangular garden is 30 meters long and 20 meters wide. If a path of 1 meter width is built around it, what is the area of the path?

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 30 meters and the width is 20 meters. So, Area of the garden = 30 × 20.
Step 2: Perform the multiplication to find the area of the garden. 30 × 20 = 600 square meters.
Step 3: Determine the dimensions of the garden including the path. The path is 1 meter wide around the garden, so you need to add 2 meters to both the length and the width (1 meter on each side). New length = 30 + 2 = 32 meters, and new width = 20 + 2 = 22 meters.
Step 4: Calculate the area including the path using the new dimensions. Area including the path = 32 × 22.
Step 5: Perform the multiplication to find the area including the path. 32 × 22 = 704 square meters.
Step 6: Calculate the area of the path by subtracting the area of the garden from the area including the path. Area of the path = 704 - 600.
Step 7: Perform the subtraction to find the area of the path. 704 - 600 = 104 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.
Difference of Areas – Calculating the area of the path by finding the difference between the total area and the area of the garden.