Show explanation and answer thank you.

Area of the figure is 51.5 ft².

Solution:

The given image is splitted as three shapes.

Triangle, rectangle and triangle.

Base of the top triangle = 3 ft

Height of the top triangle = 2 ft

Area of the triangle =

                                 = 3 ft²

Area of the top triangle = 3 ft²

Length of the rectangle = (8 + 3) ft = 11 ft

Breadth of the rectangle = 4 ft

Area of the rectangle = length × breadth

                                    = 11 × 4

Area of the rectangle = 44 ft²

Base of the bottom triangle = 3 ft

Height of the bottom triangle = 3 ft

Area of the triangle =

                                 = 4.5 ft²

Area of the bottom triangle = 4.5 ft²

Area of the figure = 3 ft² + 44 ft² + 4.5 ft²

                              = 51.5 ft²

Area of the figure is 51.5 ft².

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.