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Give possible expressions for the length and breadth of each o

Question

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

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Text solutionVerified

(i)

25 a^{2} - 35 a + 12

= 25 a^{2} - 20 a + 15 a + 12

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

The possible values of length

= (5 a - 3)

and

breadth

= (5 a - 4) .

(ii)

35 y^{2} + 13 y - 12

= 25 y^{2} + 28 y - 15 y - 12

= 7 y (5 y + 4) - 3 (5 y + 4) = (5 y + 4) (7 y - 3)

The possible values of length

= (7 y - 3)

and breadth

= (5 y + 4) .

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Question Text	Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:
Answer Type	Text solution:1
Upvotes	150