7. Ao planejar uma casa o arquiteto fez com que as áreas dos quartos menor e maior estivessem a uma razão de \( 0,888 . . \). Sabendo-se que o quarto menor tem \( 14 \mathrm{~m}^{2} \) de área, qual a área do quarto maior?

9. In the given figure \( D L \) and \( B M \) are the heights corresponding to sides \( A B \) and \( A D \) respectively of parallelogram \( A B C D \). If the area of parallelogram is \( 300 \mathrm{~cm}^{2}, A B=30 \mathrm{~cm} \) and \( A D=20 \mathrm{~cm} \). Find the length of \( B M \) and \( D L \).

14. Find the radius of a hemisphere of volume \( 80 \mathrm{~cm}^{3} \)

1. \( \triangle A B C \) is right angled at \( A \). \( A D \) is perpendicular to \( B C \). If \( A B=8 \mathrm{~cm}, B C=10 \mathrm{~cm} \) and \( A C=6 \mathrm{~cm} \). Find the area of \( \triangle A B C \). Also, find the length of \( A D \).

3.4.1 What type is triangle \( A B C \) ?

Find the area of a parallelogram \( A B C D \) whose bese \( B C \) is 27 cm and altitude \( A E \) is 8 cm . If the lengh of the altitude \( A F \) to the base \( C D \) is 12 cm . Find \( C D \).