Question

How do I find the area of the blue shape? Don't worry about the other colored one.

Answer 1

Answer:

80 cm²

Step-by-step explanation:

Let's break down the composite shape into two parts. (Image attached)

• Let "a" represent the area of the smaller square.
• Let "b" represent the area of the bigger square

⇒ The side length of "a" is 4 cm.

⇒ The side length of "b" is 8 cm.

First, let's find the area of square "a". Keep in mind that the area of a square is the side multiplied by itself.

⇒ (Side)² = A

⇒ (4)² = Area of "a"

⇒ (4)(4) = Area of "a"

⇒ 16 cm² = Area of "a"

Next, find the area of square "b". Keep in mind that the area of a square is the side multiplied by itself.

⇒ (Side)² = A

⇒ (8)² = Area of "b"

⇒ (8)(8) = Area of "b"

⇒ 64 cm² = Area of "b"

Finally, let's sum up the area of square "a" and "b" to find the area of the composite shape.

⇒ Area of composite shape = Area of "a" + Area of "b"

⇒ Area of composite shape = 16 + 64

⇒ Area of composite shape = 80 cm²