Question

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

(I)Area : 25a² - 35a + 12

(ii) Area : 35y² + 13y -12

Answer 1

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.

Therefore, possible length = 5a − 3

And, possible breadth = 5a − 4

(ii) 35y² + 13y - 12 = 35y² - 28y - 12

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

= (5y + 4)(7y  3)

Therefore, possible length = 5y + 4

And, possible breadth = 7y − 3