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Conversion of Word Statement to Mathematical Statement

Area of a rec...

Question

Area of a rectangle is $12 x^{2}$ square units. What is the length of the rectangle if the breadth is $3 x$ units?

A

3 x

units

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B

4 x

units

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C

(x + 4)

units

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D

4 units

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Solution

The correct option is B $4 x$ units
Area of a rectangle = $(l e n g t h) \times (b r e a d t h)$
Given that,
$12 x^{2} = (l e n g t h) \times 3 x$
$l e n g t h = \frac{12 x^{2}}{3 x} = 4 x$ units

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