A 20 m long steel tape used for survey is found to be short by 10 cm. If the area measured with the steel tape is 5000 m², the actual area in m² is ___________.

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A 20 m long steel tape used for survey is found to be short by 10 cm. If the area measured with the steel tape is 5000 m², the actual area in m² is ___________. A) a B) a C) a D) a

Examprev.com · Accepted Answer

The actual area can be calculated using the formula: Actual Area = Measured Area × (Actual Length of Tape / Measured Length of Tape)^2.  Given: Measured Length of Tape (L_m) = 20 m. Error = 10 cm = 0.10 m. Actual Length of Tape (L_a) = 20 m - 0.10 m = 19.90 m. Measured Area (A_m) = 5000 m².  Actual Area (A_a) = 5000 × (19.90 / 20)^2 = 5000 × (0.995)^2 = 5000 × 0.990025 = 4950.125 m². The actual answer would typically be one of the options provided (A, B, C, D) once the calculation is done. This detailed solution would be provided on the actual page. Given options are 'a', 'a', 'a', 'a', so the numerical value is expected.

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