A rectangular plot has a length of 50 meters and a width of 30 meters. If a path

A rectangular plot has a length of 50 meters and a width of 30 meters. If a path of 2 meters width is built around it, what is the area of the path?

A rectangular plot has a length of 50 meters and a width of 30 meters. If a path of 2 meters width is built around it, what is the area of the path?

Step 1: Identify the dimensions of the rectangular plot. The length is 50 meters and the width is 30 meters.
Step 2: Calculate the area of the rectangular plot using the formula: Area = Length × Width. So, Area = 50 × 30.
Step 3: Calculate the area of the rectangular plot: 50 × 30 = 1500 square meters.
Step 4: Determine the width of the path around the plot, which is 2 meters.
Step 5: Calculate the new dimensions of the plot including the path. The new length is 50 + 2 + 2 = 54 meters (adding 2 meters on each side).
Step 6: Calculate the new width including the path. The new width is 30 + 2 + 2 = 34 meters (adding 2 meters on each side).
Step 7: Calculate the total area including the path using the formula: Total Area = New Length × New Width. So, Total Area = 54 × 34.
Step 8: Calculate the total area: 54 × 34 = 1836 square meters.
Step 9: Find the area of the path by subtracting the area of the plot from the total area: Area of the path = Total Area - Area of the plot.
Step 10: Calculate the area of the path: 1836 - 1500 = 336 square meters.

Area Calculation – Understanding how to calculate the area of rectangles and the effect of adding dimensions.
Perimeter and Area Relationship – Recognizing how the addition of a path affects the overall dimensions and area.