Let the length of the square be \( L \). The area of the square is: \(A_s = L^2\) After modifications, the new length \( L_r \) and width \( W_r \) of the rectangle are: \(L_r = 1.2L, \quad W_r = 0.8L\) The area of the rectangle \( A_r \) is: \(A_r = L_r \times W_r = (1.2L)(0.8L) = 0.96L^2\) The ratio of the areas is: \(\text{Ratio} = \frac{A_r}{A_s} = \frac{0.96L^2}{L^2} = 0.96\) Thus, the ratio of the area of the rectangle to the area of the square is \( 0.96 \). Or \(\frac{96}{100}\) = 24:25