What is the area of this shape? show your work.

66.5 square centimeters.

Start by separating the figure into a triangle and a rectangle.

We know the base of the triangle is 7 cm, so find the height by subtracting the total height of the figure by the height of the rectangle. 11 cm - 8 cm = 3 cm

Now, find the area of each shape. The area of a rectangle is length (base) times width (height). This is 7 cm * 8 cm, or 56 cm^2.

Then, find the area of the triangle. The area of a triangle is base times height times 1/2. So, it is 7 cm * 3 cm * 1/2.

21 cm^2 * 1/2

10.5 cm^2

Finally, add the areas together. 56 cm^2 + 10.5 cm^2 = 66.5 cm^2

31 is prime. and it’s prime factorization is just 31.