CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM ASAP. AND PLEASE SHOW WORK

15.1875 cm²

Step-by-step explanation:

step 1)

we find the height for big triangle

area of triangle = ½ * The base * the height

that mean 27 = ½ AB * the height

27 = ½ *(6) * the height

the height = 27 /(½*6) = 27 /3 = 9

step 2)

we find the base for small triangle

6/x=4/3

x=(6*3)/4 = 4.5

step 3)

we find the height for small triangle

Similarity 4/3 = 9/z

z=(9*3)/4 = 6.75

step 4)

area of triangle = ½ The base * the height

area of triangle = ½ *(4.5)*(6.75) = 15.1875 cm²