Algebra: A Combined Approach (4th Edition)

$\frac{4x^{2}}{25x^{2}+30x+9}$ square meters
Step 1: Length $L$= $\frac{2x}{5x+3}$ meters Step 2: Area of square =$L \times L$= $\frac{2x}{5x+3} \times \frac{2x}{5x+3}$ Step 3: $\frac{2x}{5x+3} \times \frac{2x}{5x+3} =\frac{2x\times2x}{(5x+3)(5x+3)}$ Step 4: $\frac{4x^{2}}{(5x+3)^{2}}$ Step 5: $\frac{4x^{2}}{(5x)^{2}+2(5x)(3)+(3)^{2}}$ Step 6: $\frac{4x^{2}}{25x^{2}+30x+9}$ Step 6: Therefore, the answer is $\frac{4x^{2}}{25x^{2}+30x+9}$ square meters