How do I find the area of this figure?

24cm^2

Step-by-step explanation:

area of rhombus/parallelogram = 1/2 x diagonal 1 x diagonal 2

to find the value of diagonal 2, we use Pythagoras Theorem.

so 100 - 36 = 64. square root of 64 = 8. Thus, second diagonal = 8

Now find area: 1/2 x 8 x 6 = 24cm ^2

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: