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Answer :
Final answer:
In this mathematical problem, we step-by-step find the dimensions of a rectangle given that the perimeter is 120 cm and the length is 3 times greater than the breadth, which are 15 cm and 45 cm respectively.
Explanation:
The subject of this question is Mathematics - specifically geometry. You are asked to find the length and breadth of a rectangle. We know that the perimeter of a rectangle is given as 2*(length + breadth). From the question, we have the perimeter (120 cm) and know that the length is 3 times the breadth.
Let's denote the breadth as 'x'. Thus, the length will be '3x'. So, according to the formula, 2*(x + 3x) = 120. Simplifying this equation gives 8x = 120, so dividing 120 by 8 results in x = 15. So, the breadth of our rectangle will be 15 cm, and the length, since it is three times the breadth, will be 45 cm.
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