Question

In the figure, side AB is given by the expression 1 + 3, and side BC is 21 – 4.

Answer 1

Answer:

$\text{Area}=\frac{15(x+1)}{2(x-2)}$

Step-by-step explanation:

Length of the rectangle given in the picture = $\frac{5x+5}{x+3}$

Width of the rectangle = $\frac{3x+9}{2x-4}$

Area of the rectangle = Length × Width

                                    = $\frac{5x+5}{x+3}\times \frac{3x+9}{2x-4}$

                                    = $\frac{5(x+1)}{x+3}\times \frac{3(x+3)}{2(x-2)}$

                                    = $\frac{15(x+1)(x+3)}{2(x+3)(x-2)}$

                                    = $\frac{15(x+1)}{2(x-2)}$

Therefore, area of the given rectangle is $\frac{15(x+1)}{2(x-2)}$.