Question

Give possible expressions for the length and breadth of each of the foll
rectangles, in which their areas are given:
Area : 25a2-35a + 12
Area : 35y2 + 13y-12
(ii)​

Answer 1

Answer:

Solution:

(i) Area : 25a² – 35a + 12

Since, area is product of length & breadth therefore by factorizing the given area by middle term splitting, we can know the length and breadth of rectangle.

25a² – 35a + 12

[ Middle term splitting]

= 25a²-15a -20a + 12

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

= (5a – 4)(5a – 3)

Hence,possible expression for length = 5a – 4

Possible expression for breadth = 5a – 3

(ii) Area :35 y²+13y- 12

35 y² + 13y – 12

[By middle term splitting]

= 35y²-15y+28y -12

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

= (5y + 4)(7y – 3)