Answer:
Area [tex]= 30[/tex] square centimeter
Diagonal [tex]= 7.5[/tex] centimeter
Explanation:
Area of the rhombus is equal to the product of its side and altitude
Thus,
Area of the rhombus [tex]= 7.5 * 4 = 30[/tex] square centimeter
Area of the rhombus is equal to half the product value of two diagonal
[tex]30[/tex] square centimeter [tex]= 0.5 * d_1 * d_2\\[/tex]
[tex]d_2 = \frac{30}{0.5*8} \\d_2 = 7.5[/tex] cm