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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.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

12

step-by-step explanation: