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

Answer:

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

Step-by-step 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

$(3x^{2} +x)\ units^{2}+(2x^{2} +6x)\ units^{2}=(5x^{2} +7x)\ units^{2}$