On the segment MN with a length of 54 cm, point P is marked so that NP is 4 cm larger than MP.

| March 31, 2021 | education

On the segment MN with a length of 54 cm, point P is marked so that NP is 4 cm larger than MP. What is the length of the segment MP?

Let us denote by x the length (in centimeters) of the segment MP.
Then, according to the specification, the length of the NP segment is 4 cm greater than the length of the MP segment, therefore, the length of the NP segment is (x + 4) cm.
It is clear that if we add the lengths of the segments NP and MP, then we get the length of the whole segment MN, that is, 54 cm.Let us formalize this fact by the equality: (x + 4) cm + x cm = 54 cm, or 2 * x + 4 = 54, whence x = (54 – 4): 2 = 50: 2 = 25 cm.
Thus, we have determined the length of the segment MP. It is equal to 25 cm.
Answer: The length of the MP segment is 25 cm.



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