Question

The area of a rectangle is X^2 +12xy +27y^2 and its length is (x+9y). The breadth of the rectangle is​

Answer 1

Answer:

The breadth of the rectangle is​ (x + 3y)

Step-by-step explanation:

Given the area of rectangle = x² + 12xy + 27y²

The length of the rectangle = x + 9y

We know Area = Length × Breadth

=> x² + 12xy + 27y² = (x + 9y) × Breadth

=> x² + 9xy + 3xy + 27y² = (x + 9y) × Breadth

=> x( x + 9y) + 3y ( x + 9y) = (x + 9y) × Breadth

=> (x + 9y) (x + 3y) = (x + 9y) × Breadth

Cancelling  (x + 9y) from both sides.

=>  (x + 3y) = Breadth

Therefore, the breadth of the rectangle is​ (x + 3y)