Question

1. what is the area of the tessellation?

16 in
8 in
1920 in²
320 in²
2030 in²
64 in²

Explanation:

Step1: Find the width of the small rectangle

From the figure, we can observe that \( 2\times\text{width}=\text{length} = 16\) in. So, \(\text{width}=\frac{16}{2}=8\) in.

Step2: Calculate the area of one small rectangle

The area formula of a rectangle is \(A = \text{length}\times\text{width}\). Substituting \(\text{length} = 16\) in and \(\text{width}=8\) in, we get \(A_{1}=16\times8 = 128\) in².

Step3: Count the number of small rectangles

By counting, we find there are \(15\) small rectangles in the tessellation.

Step4: Calculate the total area of the tessellation

The total area \(A = 15\times A_{1}\). Substituting \(A_{1}=128\) in², we have \(A=15\times128 = 1920\) in².

Answer:

\(1920\) in² (the first option)