Answer :
The base's length is 8 and it's width is 7, so it's perimeter will be [tex]2\cdot (7+8)=30[/tex] . To find the lateral area you shoul multiply this with it's height. So, [tex]30\cdot h=150\\ h=\frac { 150 }{ 30 } \\ h=5[/tex] (h is height).