Step 1 :Let \(A_n\) be the area covered by algae after \(n\) days.
Step 2 :Since the area doubles each week (7 days), \(A_n = 12.5 * 2^{\frac{n}{7}}\).
Step 3 :For 10 days, compute \(A_{10} = 12.5 * 2^{\frac{10}{7}} = 12.5 * 2^{1.4286} \approx 27.7275\) square meters.