The length of the ABCD line is 3dm5cm. Each of the segments AB and CD has a length of 1dm2cm.
The length of the ABCD line is 3dm5cm. Each of the segments AB and CD has a length of 1 dm2 cm. What is the length of the segment BC
The length of the segment BC will be denoted by x. it is obvious that the length of the ABCD line is the sum of the lengths of the segments AB, BC and CD, that is, the sum of AB + BC + CD is a formal record of the length of the ABCD line.
According to the conditions of the assignment, the length of the ABCD line is 3 dm 5 cm. Hence, AB + BC + CD = 3 dm 5 cm.
According to another condition of the assignment, AB = CD = 1 dm 2 cm.Substituting all the listed segments of the ABСD line into the equality AB + BC + CD = 3 dm 5 cm, we get: 1 dm 2 cm + x + 1 dm 2 cm = 3 dm 5 see This equality can be considered as an equation for the unknown x. Performing a permutation of the terms and summing up the two known quantities, we rewrite this equation in the form: x + 2 dm 4 cm = 3 dm 5 cm.
The left side of this equation is the sum of two terms, and one of the terms is unknown. To find the term, you need to subtract another term from the sum: x = 3 dm 5 cm – 2 dm 4 cm = 1 dm 1 cm.
Answer: The length of the BC segment is 1 dm 1 cm.