Question

the length of the rectangle exceeds its bread by 3 cm if the length and breadth are is increased by 2 centimetre then the area of a new rectangle will be 70 square CM more than that of a given rectangle find the length and breadth of the rectangle from linear equation in one variable

Answer 1

Hope u like my process
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Let the length of the rectangle be x cm

So, it's breadth = (x-3)cm

The area of the rectangle = x(x-3) cm²

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If length and breadth increased by 2cm

New length = (x +2) cm

New breadth = (x - 3+2)=(x-1) cm

New Area = (x-1)(x+2) cm²

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By problem,
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$= > \bf \: (x + 2)(x - 1) - x(x - 3) = 70 \\ \\ = > {x}^{2} + 2x - x - 2 - {x}^{2} + 3x = 70 \\ \\ = > 4x - 2 = 70 \\ \\ = > \bf x = \frac{70 + 2}{4} = \frac{72}{4} = \underline{ 18} \: \: cm$
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Thus,

The required length is 18 cm

The required breadth is (18-3)=15 cm

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