The area of a rectangle is 6x² - 4xy - 10y² square unit and length is 2x + 2y unit. Find its breadth.
Answers
Answer:
b=3x - 5y
Step-by-step explanation:
Area of rectangle = l x b
l=2x + 2y
b=?
6x^2 - 4xy - 10y^2=(2x+2y)xb
6x^2 - 4xy - 10y^2/2x+2y=b
Now using the long division method,
b=3x - 5y
HOPE IT HELPS!!!!!!!!!!!!
Given :
- Area of the Rectangle = 6x² - 4xy - 10y² units²
- Length of the Rectangle = 2x + 2y units.
To find :
The breadth of the Rectangle.
Solution :
We know the formula for area of a Rectangle i.e,
⠀⠀⠀⠀⠀⠀⠀Area = Length × Breadth
Let the breadth of the Rectangle be b units.
By using the above formula and substituting the values in it, we get :
==> Area = Length × Breadth
==> 6x² - 4xy - 10y² = 2x + 2y × b
==> 6x² - (-6 + 10)xy - 10y² = 2x + 2y × b
==> 6x² - (-6xy + 10xy) - 10y² = 2x + 2y × b
==> 6x² + 6xy - 10xy - 10y² = 2x + 2y × b
==> 6x(x + y) - 10y(x + y) = 2x + 2y × b
==> (x + y)(6x - 10y) = 2x + 2y × b
==> (x + y)(6x - 10y)/(2x + 2y) = b
==> (x + y)(6x - 10y)/2(x + y) = b
==> (6x - 10y)/2 = b
==> 2(3x - 5y)/2 = b
==> 3x - 5y = b
∴ b = 3x - 5y units.
Hence the breadth of the Rectangle is 3x - 5y units.⠀