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In measuring the side of a square, an error of 5% in excess is made. The error % in the calculated area is,
- A$10 \frac{1}{4} % $
- B$ 10 \frac{3}{4} % $
- C$1 \frac{3}{4} % $
- D$25%$
Answer not set
Discussion 1
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CCommunity
100 cm is read as 105 cm
A1 = (100 x 100) cm2 and A2 = (105 x 105) cm2
⇒ (A2 - A1) = [(105)2 - (100)2]
⇒ (A2 - A1) = (105 + 100) x (105 - 100)
⇒ (A2 - A1) = 205 × 5 cm2
⇒ (A2 - A1) = 1025 cm2
∴ Percentage error = (change in area/ original area) x 100
(1025/10000) x 100 = 10.25% = 10¼ %
A1 = (100 x 100) cm2 and A2 = (105 x 105) cm2
⇒ (A2 - A1) = [(105)2 - (100)2]
⇒ (A2 - A1) = (105 + 100) x (105 - 100)
⇒ (A2 - A1) = 205 × 5 cm2
⇒ (A2 - A1) = 1025 cm2
∴ Percentage error = (change in area/ original area) x 100
(1025/10000) x 100 = 10.25% = 10¼ %