Question

each small square on the grid is 1 in². which estimate best describes the area of this figure? 10 in² 15 in² 20 in² 35 in²

Explanation:

Step1: Count full - squares

Count the number of full - squares inside the figure. Let's assume there are \(x\) full - squares.

Step2: Count partial - squares

Count the number of partial - squares. For partial - squares, we can use the rule that two half - squares make up one full - square. Let's assume there are \(y\) partial - squares. The equivalent number of full - squares from partial - squares is \(\frac{y}{2}\).

Step3: Calculate the total area estimate

The total area estimate \(A=x + \frac{y}{2}\).
If we count: assume there are 12 full - squares (\(x = 12\)) and 16 partial - squares (\(y=16\)). Then \(A=12+\frac{16}{2}=12 + 8=20\)

Answer:

\(20\space in^{2}\)