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

Area of the trapezoid = 36√6 cm²

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