Exercise 32 Page 851

Since we divide the height by $2,$ we divide the lateral area of the lamp shade into two congruent parts. Therefore, the lateral area of the smaller part is exactly $2$ times smaller. We can also prove it by finding the lateral area of the small shade lamp. Let's do it!

Therefore, the lateral area of the smaller shade lamp is about $190.9$ square inches. The lateral area of the shade lamp from Part A is about $381.7.$ Since $190.9/381.7\approx 0.5,$ the lateral area is $2$ times smaller if we divide the height of the lamp by $2.$