**Mathematics Problem – Example:**

A line of true length 500 m, when measured by a 20 m tape, is reported to be 502 m long. The correct length of tape is?

**Solution:**

Given,

- True Length = 500 m
- Measured Length = 502 m

The line is measured long (502-500) = 2 m. Hence, the tape is short by some length and the actual length is not 20 m.

**Hence,**

True Length of Line = [latex] \frac{{l}’}{l}\times [/latex] measured length

Or, [latex] 500 = \frac{{l}’}{20}\times 502 [/latex]

Or, [latex] \frac{500\times 20}{502} = {l}’ [/latex]

Or, [latex] {l}’ = 19.92 m [/latex]

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