Question

Answer the question about this photo

Answer 1

Answer:

24 cm²

Step-by-step explanation:

First, we can find the side length of each square. We know that the perimeter of a square is defined as:

$P = 4s$

where $s$ is the square's side length.

Plugging the given $P=8$ into the equation, we can solve for $s$:

$8\text{ cm} = 4s$

↓ dividing both sides by 4

$2\text{ cm} =s$

So, each side of the square is 2 cm.

Next, we can see that the rectangle's length is composed of 3 square sides and its width is composed of 2 square sides:

• $l = 3 \times 2\text{ cm} = 6\text{ cm}$
• $w = 2\times 2\text{ cm} = 4 \text{ cm}$

We can use these dimensions to solve for the rectangle's area, which is defined as:

$A = l \times w$

↓ plugging in the dimensions we solved for

$A = (6\text{ cm}) \times (4\text{ cm})$

$\boxed{A = 24\text{ cm}^2}$

So, the area of the rectangle is 24 square centimeters.