Question

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

Answer 1

Step-by-step explanation:

(i) Let us first factorize the given expression 25a

2

−35a+12 as shown below:

25a

2

−35a+12

=25a

2

−15a−20a+12

=5a(5a−3)−4(5a−3)

=(5a−4)(5a−3)

Therefore, the area of the rectangle is (5a−4)(5a−3) and we also know that the area of the rectangle is A=length×breadth.

Hence, the length and breadth can both be (5a−4) or (5a−3).