This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To find the area of each shape, we will count the whole squares and then count any parts that are half a square or bigger, combining them to estimate the total area. Parts less than half a square are ignored. Shape A: Step 1: Count the whole squares. There are 4 whole squares. Step 2: Count parts that are half a square or bigger. There are 0 such parts. Step 3: Sum the counts. Area = 4 + 0 = 4 square units. The area of Shape A is 4 square units. Shape B: Step 1: Count the whole squares. There are 3 whole squares. Step 2: Count parts that are half a square or bigger. There are 0 such parts. Step 3: Sum the counts. Area = 3 + 0 = 3 square units. The area of Shape B is 3 square units. Shape C: Step 1: Count the whole squares. There are 2 whole squares. Step 2: Count parts that are half a square or bigger. There are 4 parts that are exactly half a square (one in the top row, one in the middle row, and two in the bottom row). Step 3: Sum the counts. Area = 2 + 4 = 6 square units. The area of Shape C is 6 square units. Shape D: Step 1: Count the whole squares. There is 1 whole square. Step 2: Count parts that are half a square or bigger. There are 3 parts that are exactly half a square (one in each row on the right side). Step 3: Sum the counts. Area = 1 + 3 = 4 square units. The area of Shape D is 4 square units. Shape E: Step 1: Count the whole squares. There are 4 whole squares. Step 2: Count parts that are half a square or bigger. There are 0 such parts. Step 3: Sum the counts. Area = 4 + 0 = 4 square units. The area of Shape E is 4 square units. Shape F: Step 1: Count the whole squares. There are 2 whole squares. Step 2: Count parts that are half a square or bigger. There are 2 parts that are exactly half a square (one on each end). Step 3: Sum the counts. Area = 2 + 2 = 4 square units. The area of Shape F is 4 square units. Shape G: Step 1: Count the whole squares. There is 1 whole square (in the center). Step 2: Count parts that are half a square or bigger. There are 4 parts that are exactly half a square (the four triangles pointing outwards). Step 3: Sum the counts. Area = 1 + 4 = 5 square units. The area of Shape G is 5 square units. Shape H: Step 1: Count the whole squares. There are 4 whole squares. Step 2: Count parts that are half a square or bigger. There are 0 such parts. Step 3: Sum the counts. Area = 4 + 0 = 4 square units. The area of Shape H is 4 square units. Shape I: Step 1: Count the whole squares. There are 0 whole squares. Step 2: Count parts that are half a square or bigger. There are 4 parts that are exactly half a square (the four triangles). Step 3: Sum the counts. Area = 0 + 4 = 4 square units. The area of Shape I is 4 square units. Shape J: Step 1: Count the whole squares. There is 1 whole square (in the center). Step 2: Count parts that are half a square or bigger. There are 4 parts that are exactly half a square (the four triangles pointing outwards). Step 3: Sum the counts. Area = 1 + 4 = 5 square units. The area of Shape J is 5 square units. What's next?