Understanding the Problem:

To find the breadth, length, and perimeter of a rectangle with an area of 180, we need to first understand the basic concepts involved. The area of a rectangle is calculated by multiplying its length and breadth, while the perimeter is the sum of all its sides.

Finding the Length and Breadth:

Given that the area of the rectangle is 180, we can use this information to determine the possible combinations of length and breadth that satisfy this condition. We can start by listing the factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.

Determining the Length and Breadth:

We need to find a pair of factors that, when multiplied, result in 180. Let's say we choose 15 and 12 as the length and breadth, respectively. Multiplying these two values gives us the area of the rectangle, which is 180.

Calculating the Perimeter:

To find the perimeter of the rectangle, we use the formula P = 2(length + breadth). Plugging in the values we found earlier (length = 15, breadth = 12), we get P = 2(15 + 12) = 2(27) = 54.

Therefore, the length of the rectangle is 15 units, the breadth is 12 units, and the perimeter is 54 units. This means that a rectangle with a length of 15 units and a breadth of 12 units will have a perimeter of 54 units.