Question

The total area of two rectangles can be represented by the expression (x)(3x+1) + (2x)(x+3). Which expression represents the total area of the two rectangles?

Answer 1

The total area of the two rectangles is
`(5x^(2) +7x)\ units^(2)`

Explanation:

Area of rectangle 1

`(x)(3x+1)=(3x^(2) +x)\ units^(2)`

Area of rectangle 2

`(2x)(x+3)=(2x^(2) +6x)\ units^(2)`

therefore

The total area of the two rectangles is equal to

`(3x^(2) +x)\ units^(2)+(2x^(2) +6x)\ units^(2)=(5x^(2) +7x)\ units^(2)`