Question

give possible expressions for the length and breadth of each of the following, in which their areas are given:
16x² + 24x + 5
16x² + 16x - 5​

Answer 1

Answer:(i)  Area=25a  

2

−35a+12

⇒  25a  

2

−15a−20a+12

⇒  5a(5a−3)−4(5a−3)

⇒  (5a−3)(5a−4)

Hence, Area=(5a−3)(5a−4)

We know, Area=Length×breadth

Hence, there are two possibilities

Case1:Length=(5a−3) and Breadth=(5a−4)

Case2:Length=(5a−4) and Breadth=(5a−3)

(ii) Area=35y  

2

+13y−12

⇒  35y  

2

+28y−15y−12

⇒  7y(5y+4)−3(5y+4)

⇒  (5y+4)(7y−3)

Hence, Area=(5y+4)(7y−3)

We know, Area=Length×breadth

Hence, there are two possibilities

Case1:Length=(5y+4) and Breadth=(7y−3)

Case2:Length=(7y−3) and Breadth=(5y+4)

Step-by-step explanation: