Question:

A rectangular pool has area $2x^2 + 7x + 3$ sq. hastas, if its width is $(2x + 1)$ hastas. Find its length.
Hasta was a unit used to measure length.

Answer: Verified

Factor $2x^2 + 7x + 3$ .
Split $7x$ using factors of $6$ into $6x + x$ .
$2x^2 + 6x + x + 3 = 2x(x + 3) + 1(x + 3) = (2x + 1)(x + 3)$ .
Length = $(x+3)$ hastas

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A rectangular pool has area 2x2+7x+32x^2 + 7x + 32x2+7x+3 sq. hastas, if its width is (2x+1)(2x + 1)(2x+1) hastas. Find its length. Hasta was a unit used to measure length.

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A rectangular pool has area $2x^2 + 7x + 3$ sq. hastas, if its width is $(2x + 1)$ hastas. Find its length.
Hasta was a unit used to measure length.