What is the area of this shape

54cm

Step-by-step explanation:

We can break the shape up into a right angled triangle and a square;

Area of square = 6^2 = 36

Area of triangle = 1/2 x 6 x 6 = 18

We add both the answers up at get 54.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.