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

March 31, 2026

Answer

725.3335 m

Step 1: 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 ( $L'$ ) = $50.023 \text{ m}$

Step 2: Apply the formula for corrected distance. The formula for the corrected distance ( $L_c$ ) is: $L_c = L_m \times \frac{L'}{L}$

Step 3: Substitute the values and calculate the corrected distance. $L_c = 725 m \times \frac{50.023 m}{50 m}$ $L_c = 725 \times 1.00046 \text{ m}$ $L_c = 725.3335 \text{ m}$ The true length of the survey data is: $\boxed{725.3335 m}$

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Identify the given values. • Measured distance (L_m) = 725 m • Designated length of the tape (L) = 50 m • Actual length of the tape (L') = 50.023 m Step 2: Apply the formula for corrected distance.

Asked on March 31, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 31, 2026

Step 1: Identify the given values. • Measured distance (L_m) = 725 m • Designated length of the tape (L) = 50 m • Actual length of the tape (L') = 50.023 m Step 2: Apply the formula for corrected distance. The formula for the corrected distance (L_c) is: L_c = L_m × (L')/(L) Step 3: Substitute the values and calculate the corrected distance. L_c = 725 m × 50.023 m50 m L_c = 725 × 1.00046 m L_c = 725.3335 m The true length of the survey data is: 725.3335 m