Will give brainiest answer

144 units²

Step-by-step explanation:

We can see this shape is made of 2 shapes that we are familiar with 3 rectangle's and 2 triangles. In order to work out the surface of the prism we need to know how to work out the area of a rectangle and a triangle.

→ Area of triangle =  0.5 × Base × Height

→ Area of rectangle = Length × Width

First let's work out the area of the triangle and then double it to find the added area of the 2 triangle's

Area of triangle =  0.5 × Base × Height

→ Substitute in the values

Area of triangle =  0.5 × 4 × 3

→ Simplify

Area of triangle =  6

Then double this value to find the combined value of the 2 triangle's

6 × 2 = 12

Now the area of the large rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 5

→ Simplify

Area of rectangle =  55

Now the area of the medium rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 4

→ Simplify

Area of rectangle =  44

Now the area of the small rectangle

Area of rectangle = Length × Width

→ Substitute in the values

Area of rectangle = 11 × 3

→ Simplify

Area of rectangle =  33

Now we add all the area's together,

33 + 44 + 55 + 12 = 144

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}