Question

The area of a square plot is `101 1/400`m². Find the length of one side of the plot.

Answer 1

Let length of the square plot be a.

Then, the area of square = a²

According to the question,

Area = `101 1/400`m²  ...[Given]

∴ a² = `101 1/400`

⇒ a² = `40401/400`

⇒ a = `sqrt(40401/400)`

⇒ a = `sqrt((201 xx 201)/(20 xx 20)`

∴ a = `201/20 = 10 1/20`m  ...[Taking square root on both sides]

Hence, the length of one side of the plot is `10 1/20`m.