When an error of 1% is made in the length of a square, the percentage error in the area of a square will be (a) 0 (b) 1/2 (c) 1 (d) 2?
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Answer:option (d)
Step-by-step explanation:
let side of square is 100 cm.
then area of square = 100*100 cm²
=10000 cm²
as given 1%S error in measuring length
so new length = 99 cm
and area of square = 99*99 cm²
=9801 cm²
so net change in calculating area = (10000-9801) cm²
=199 cm²
percentage change in calculating area = (199*100)/10000%
=1.99%
≅2%
so option (d) is correct.
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