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

2 thoughts on “Give possible expressions for the length and breadth of each of the following, in which their areas are given”

1. [tex]\huge\blue{\underline{\overline{\tt: Answer}}\mid}[/tex]

   i] area = 25a² – 35a + 12

   factorise the equation~

   By splitting the middle term.

   25a²- 15a+ 20a + 12

   5a(5a-3) – 4(5a-3)

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

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

   Area = length×breadth.

   Therefore, there are two possibilities.

   Case 1 :

   length = 5a-3, breadth = 5a-4

   Case 2 :

   length = 5a-4, breadth = 5a-3

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2. Step-by-step explanation:

   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)

   ooppsie

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