b
Area of the house on the slide \(=1.75 cm ^{2}\)

Area of the image of the house formed on the screen \(=1.55 m ^{2}\)

\(=1.55 \times 10^{4} cm ^{2}\)

Arial magnification, \(m_{a}=\frac{\text { Area of image }}{\text { Area of object }}=\frac{1.55}{1.75} \times 10^{4}\)

\(\therefore\) Linear magnifications, \(m_{l}=\sqrt{m_{\alpha}}\) \(=\sqrt{\frac{1.55}{1.75} \times 10^{4}}=94.11\)