Question

solve on paper and check your work on zearn. the area of this polygon is square units.

Explanation:

Step1: Count full squares

The top 4 rows (rows 1 - 4) have 7 blue squares each. So \( 4\times7 = 28 \) full squares.

Step2: Analyze the triangular part

The 5th and 6th rows form a triangle. The base of the triangle is 7 units, and the height is 2 units (since from row 5 to row 6, it's 2 rows). The area of a triangle is \( \frac{1}{2}\times base\times height \), so \( \frac{1}{2}\times7\times2 = 7 \).

Step3: Total area

Add the area of full squares and the triangle: \( 28 + 7 = 35 \).

Answer:

35