Question

Use the identity to find the area of rectangle whose length is (2x + 5y)
and breadth is (2x + 3y)

Answer 1

Answer:

The area of a rectangle whose length is (2x + 5y) and breadth is (2x + 3y) is $4x^2 + 16 xy +15 y^2$.

Step-by-step explanation:

Given:

Length = 2x + 5y

Breadth = 2x + 3y

Formula =

Area of rectangle = length x breadth

= (2x + 5y) x (2x + 3y)

$\\= 2x (2x + 3y) + 5y (2x + 3y)\\= 4x^2 + 6xy + 10xy +15 y^2\\= 4x^2 + 16 xy +15 y^2$