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Maths-

General

Easy

Question

Given the area of a square, factor it to find the side length.
$text Area end text equals 144 x squared minus 24 x plus 1$

hint Hint:

Using the formula area = side2. find the side of the square by factoring the area .

The correct answer is: 12x - 1 is the side length of the square.

Ans:- 12x-1 is the side length of the square.
Given , Area A = $144 x squared minus 24 x plus 1$
Write $144 x squared text as end text left parenthesis 12 x right parenthesis squared comma negative 24 x text as end text minus 2 left parenthesis 12 x right parenthesis left parenthesis 1 right parenthesis text and end text 1 text as end text 1 squared$
we get A = $open square brackets left parenthesis 12 x right parenthesis squared minus 2 left parenthesis 12 x right parenthesis left parenthesis 1 right parenthesis plus 1 squared close square brackets$
Applying $a squared minus 2 a b plus b squared equals left parenthesis a minus b right parenthesis squared text formula here end text a equals 12 x subscript semicolon b equals 1$
We get A = $left parenthesis 12 x minus 1 right parenthesis squared$
But, area of square A = $left parenthesis text side end text right parenthesis squared$
$left parenthesis 12 x minus 1 right parenthesis squared equals left parenthesis text side end text right parenthesis squared not stretchy rightwards double arrow text side end text equals 12 x minus 1$
∴ length of side is 12x - 1 .

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