On segment AB, point C is taken, while the length of segment AC is 0.65 the length of segment BC. Find the length of segment AB if segment BC is longer than segment AC by 0.98 m.
1. Let’s take the length of the segment BC as 1 (unit). Then the difference in the lengths of the segments BC and AC in parts will be:
1 – 0.65 = 0.35;
The same difference in meters is 0.98 m.
2. The length of the segment AB in parts will be equal to:
1 + 0.65 = 1.65;
3. Determine how many meters one part of the segment is equal to, if 0.35 of its parts are equal to 0.98 m:
0.98: 0.35 = 2.8 m;
4. Calculate the length of the segment AB = 1.6 parts, if 1 part = 2.8 m:
2.8 * 1.6 = 4.48 m.
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