Give possible expressions for the length and breadth of each of thefollowing rectangles, in which their areas are given:

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Solution

Area = Length × Breadth

The expression given for the area of the rectangle has to be factorised. One of its factors will be its length and the other will be its breadth.

(i)

Therefore, possible length = 5a − 3

And, possible breadth = 5a − 4

(ii)

Therefore, possible length = 5y + 4

And, possible breadth = 7y − 3

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Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: Area : 25 $a^{2}$ – 35a + 12

Q. Give possible expressions for the length and breadth of the following rectangles, in which their area are given.
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Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:
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\begin{matrix} \begin{matrix} A r e a : 25 a^{2} - 35 a + 12 \end{matrix} (i) \end{matrix} \begin{matrix} \begin{matrix} A r e a : 35 y^{2} + 13 y - 12 \end{matrix} (i i) \end{matrix}

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25 a^{2} - 35 a + 12

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