Respuesta :

Answer:

A) 384

B) 576

Step-by-step explanation:

the area of a rhombus is

pq/2

First Rhombus

we have p but to find q we can cut the triangle in half to form a right triangle, that allows us to use the Pythagorean theorem

20² = 12² + b²

400 - 144 = b²

b² = 256

b = 16

since the height (b) is half the rhombus, we double it to get q

p = 24

q = 32

a = [tex]\frac{24*32}{2}[/tex]

a = 384

Second Rhombus

Since rhombuses are parallelograms, we can use its area formula  (b)(h)

a = (24)(24)

a = 576