Question

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

Answer:

i) Area: 25a2 – 35a + 12 = 25a2 – 20a – 15a + 12 = 5a(5a – 4) – 3(5a – 4) = (5a -4) (5a – 3)

length × breadth = Area of rectangle (5a – 4) (5a – 3) = 25a2 – 35a + 12

∴ Length = (5a – 4) Breadth = (5a – 3)

(ii) Area : 35y2 + 13y – 12 Area of Rectangle – Length × Breadth 35y2 + 13y – 12 35y2 + 28y – 15y 7y(5y + 4) – 3(5y + 4) (7y – 3) (5y + 4)

∴ Length = (7y – 3) Breadth = (5y + 4)

Step-by-step explanation:

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