Question

A trapezoid has height h which equals rad 36 cm. One base is 3 red 6. The other bas is 3 red 54. Find the area of the trapezoid

Answer 1

Answer:

Area of the trapezoid    = 36√6 cm²

Step-by-step explanation:

Area of the trapezoid = height ( base1+ base2/2)

height = √36

base1= 3√6

base 2= 3√54

Putting the values in the formula

Area of the trapezoid = height ( base1+ base2/2)

                                 = √36 ( 3√6+3√54/2)

                                    = 6 (  3√6+3√6*9/2)    Factoring

                                     = 6 (  3√6+3*3√6/2)         Multiplying

                                      = 6 (  3√6+9√6/2)         adding

                                          = 6 (  12√6/2)

                                           = 6 (  6√6)

                                            = 36√6 cm²