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Question

Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: Area : 25a2 – 35a + 12

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Solution

Since area of rectangle = length × breadth. Let us factorize the following equations into two terms.

Area = 25a2 – 35a + 12

= 25a2 – 15a - 20a + 12 (Using splitting method)

= 5a(5a -3) - 4(5a - 3)

= (5a - 3)(5a -4)

Possible length = (5a - 3)

and Possible width = (5a -4)


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