Question

The area of avretangle is 5x² + 6x +4.
A triangle is drown inside the rectangle
and has an area x² + 5x+9. What area of
the rectangle is not included in the area
of the triangle ? Give the answer
with explantion.​

Answer 1

Given area, A = 5x²+17x+6 ;  

Splitting 17x as 15x +2x, We get  

A = 5x² + 15x + 2x + 6  

  = 5x( x+3) + 2 (x+3)  

  = (x+3) × (5x + 2)  

Area of rectangle = Length × Breadth  

Hence, we can take the relation as  

Length = 5x +2  

Breadth = x+3  

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Answer 2

Answer:

Required Area = Area of rectangle - Area of triangle = 5x² + 6x + 4 - ( x² + 5x + 9 ) = 4x² + x - 5.