Answer: 20x² + 20x
Step-by-step explanation:
We will find the area of the given figure by breaking it up into three shapes. We have a rectangle and two congruent right triangles. Then, we'll add them together.
Area of a rectangle:
A = LW
Substitute given values:
A = (8x + 8) * (2x)
Multiply by distribution:
A = 16x² + 16x
Area of a triangle:
A = (bh)/2
Multiply by 2 for two congruent triangles:
➜ This becomes the same formula as a rectangle!
A = 2 * ((bh)/2)
A = bh
Substitute given values:
A = ((8x + 8)/2) * (x)
Divide:
A = (4x + 4) * (x)
Multiply by distribution:
A = 4x² + 4x
Addition:
A = Rectangle + Triangles
A = 16x² + 16x + 4x² + 4x
A = 20x² + 20x
