What is the area of the figure?
/users/macuser/downloads/ms_imb-1401012-1100604.jpg

Given:
Shapes: Trapezoid and Triangle.

Trapezoid: Upper base = 14mm ; lower base = 18mm
Triangle: base = 18mm ; height = 12mm
Total height of the figure is 17 mm

Area of a trapezoid = (upper base + lower base)/2  * height
A = (14mm+18mm)/2  * (17mm-12mm)
A = 32mm/2 * 5mm
A = 16mm * 5mm
A = 80 mm²

Area of a triangle = (height * base) ÷ 2
A = (12mm * 18mm) ÷ 2
A = 216mm² ÷ 2
A = 108 mm²

Total area of the figure = 80 mm² + 108 mm² = 188mm²

4(3x2y4)3/(2x3y5)4

Final result :

   27

 —————

 4x6y8

Step by step solution :

Step  1  :

Equation at the end of step  1  :

   (((3•(x2))•(y4))3)

 4•——————————————————

     ((2x3•(y5))4)  

Step  2  :

Equation at the end of step  2  :

     ((3x2 • (y4))3)

 4 • ———————————————

        24x12y20    

Step  3  :

            33x6y12

Simplify   ————————

           24x12y20

Dividing exponential expressions :

3.1    x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6

Dividing exponential expressions :

3.2    y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8

Equation at the end of step  3  :

       27  

 4 • ——————

     16x6y8

Step  4  :

Final result :

   27

 —————

 4x6y8