Question

A public park in the form of square has an area of (100+-0.2)m^2.the aide of park is

Answer 1

area of square Park = (100 ± 0.2) m²

we know, area of square , A = L² , Where L is side length.

Given, A = 100

∴ L² = 100 = 10²

⇒ L = 10 m

For getting error , we have to apply formul,

∆A/A = 2∆L/L

Given, A = 100 , ∆A = 0.2 , L = 10

∆L = ?

∴ 0.2/100 = 2 × ∆L/10

⇒0.2/100 × 10 = 2 × ∆L

⇒ 0.02/2 = ∆L

⇒ ∆L = 0.01

Hence, side of park = (10 ± 0.01) m

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