Question

1. If a lawn 30 m long and 16 m wide is surrounded by a path 2 m wide, what is the area of the path​

Answer 1

The area of the path is 200 m².

Explanation:

To find the area of the path, subtract the area of the lawn from the area of the path and lawn.

If a lawn that is 30 m long and 16 m wide is surrounded by a path that is 2 m wide, then the length and width of the area of the path and lawn is 34 m long and 20 m wide.

Given the area of a rectangle is the product of the measures of its length and width:

• Area of the lawn = 30 m × 16 m = 480 m²
• Area of the lawn and path = 34 m × 20 m = 680 m²

Therefore, the area of the path is:

• Area of the path = 680 m² - 480 m² = 200 m²

Answer 2

96 squared meters

Explanation:

What is area?

Area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

To solve this, we need to first find out how big the area is with the path. To do this, we need to add the 2m on to the length and width of the lawn.

• 30 + 2 = 32
• 16 + 2 = 18

Now, we have the numbers we need to solve for the total area. If we know that the area can be solved using length × width, we can use this equation:

• 32 × 18 = 576

So, the lawn's area including the fence is 576 square meters.

To find out the area of just the fence, we can take the area of the lawn with the fence and subtract the area of the lawn from it. The equation can look like this:

• 576 - (30 × 16) =?

• 576 - 480 =?

• 96

Therefore, the area of the path is 96 squared meters.