Final answer:
Take the perimeter of the rectangle and the condition that length is greater than the breadth by 5 cm. Set up two equations and solve them simultaneously to find that the length of the rectangle is 22 cm and the breadth is 17 cm.
Step-by-step explanation:
The question is asking for the length (L) and breadth (B) of a rectangle. We know a couple things from the question: the perimeter of the rectangle is 78 cm and the length is greater than the breadth by 5 cm.
We can set up two equations from this information. The formula for the perimeter of a rectangle is 2L + 2B = P. Substituting values, we get 2L + 2B = 78 cm.
Additionally, the question tells us that L = B + 5. We can now solve the two equations simultaneously. Substitute (B+5) for L in the first equation:
2(B + 5) + 2B = 78
Simplify this equation to find B = 17 cm. Substituting B = 17 into the second equation (L = B + 5), we find that L = 22 cm. So, the length of the rectangle is 22 cm, and the breadth is 17 cm.
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