Final answer:
To find the area of the rectangle with a given perimeter and equal length and breadth, we need to solve for the dimensions using the perimeter formula and then multiply the length and breadth.
Step-by-step explanation:
To find the area of a rectangle, we need to know its length and breadth. In this case, the length and breadth are equal. Let's assume the length of the rectangle is x.
Since the length and breadth are equal, the breadth is also x.
The formula for the perimeter of a rectangle is 2 (length + breadth). Substituting the values, we have 2 (x + x) = 84.
Simplifying it further, we get 4x = 84.
Dividing both sides by 4 gives x = 21.
Now that we know the dimensions, we can calculate the area of the rectangle by multiplying the length and breadth, which is 21 cm x 21 cm = 441 cm².
Therefore, the area of the rectangle is 441 square centimeters.
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