Question

find the area of the following shape. you must show all work to receive credit.

Explanation:

Step1: Divide into shapes

Divide into a triangle and a rectangle.

Step2: Calculate triangle area

Base of triangle is 4, height is 4. Area $A_1=\frac{1}{2}\times4\times4 = 8$.

Step3: Calculate rectangle area

Length is 2, width is 2. Area $A_2 = 2\times2=4$.

Step4: Total area

$A = A_1+A_2=8 + 4=12$.

Answer:

12