15. Give posible expressions for the length and breadth of each of the following
rectangles in which their areas are given.

July 31, 2021

By Hailey

2 thoughts on “15. Give posible expressions for the length and breadth of each of the following<br />rectangles in which their areas are given.<b”

1. Answer:

   Problem based on geometrical figure:

   First we determine all the factors of the given polynomial by splitting middle term and then consider any of the factor as any of the dimension

   (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)

   Hence,possible expression for length = (5y + 4)

   Possible expression for breadth = (7y – 3)

   Step-by-step explanation:

   hope my answer help you

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2. Step-by-step explanation:

   Area : 35y

   2

   +13y−12

   Area of rectangle – Length×Breadth

   35y

   2

   +28y−15y

   35y

   2

   +28y−15y

   7y(5y+4)−3(5y+4)

   (7y−3)(5y+4)

   ∴ Length =(7y−3)

   Breadth =(5y+4)

   Reply