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A measuring tape is stated to be 50 m long, but its actual length is 50.023 m. If a distance measured with this tape is 725 m, what is the corrected distance?

March 31, 2026Mathematics

ScanSolve AI Answer

Answer

\text{725.3335 m}

Step-by-step solution

3 steps

Identify the given values.
- Measured distance ( $L_m$ ) = $725 \text{ m}$
- Designated length of the tape ( $L$ ) = $50 \text{ m}$
- Actual length of the tape ( $L'$ ) = $50.023 \text{ m}$
Apply the formula for corrected distance.
The formula for the corrected distance ( $L_c$ ) is:
$L_c = L_m \times \frac{L'}{L}$
Substitute the values and calculate the corrected distance.
$L_c = 725 \text{ m} \times \frac{50.023 \text{ m}}{50 \text{ m}}$ $L_c = 725 \times 1.00046 \text{ m}$ $L_c = 725.3335 \text{ m}$
The true length of the survey data is:
$\text{725.3335 m}$

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