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Find the area of each shape in square units.
Mathematics
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Step-by-step solution
30 stepsTo 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:
Count the whole squares.
There are 4 whole squares.Count parts that are half a square or bigger.
There are 0 such parts.Sum the counts.
Area $= 4 + 0 = 4$ square units. The area of Shape A is $\boxed{\text{4 square units}}$.- Shape B:
Count the whole squares.
There are 3 whole squares.Count parts that are half a square or bigger.
There are 0 such parts.Sum the counts.
Area $= 3 + 0 = 3$ square units. The area of Shape B is $\boxed{\text{3 square units}}$.- Shape C:
Count the whole squares.
There are 2 whole squares.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).Sum the counts.
Area $= 2 + 4 = 6$ square units. The area of Shape C is $\boxed{\text{6 square units}}$.- Shape D:
Count the whole squares.
There is 1 whole square.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).Sum the counts.
Area $= 1 + 3 = 4$ square units. The area of Shape D is $\boxed{\text{4 square units}}$.- Shape E:
Count the whole squares.
There are 4 whole squares.Count parts that are half a square or bigger.
There are 0 such parts.Sum the counts.
Area $= 4 + 0 = 4$ square units. The area of Shape E is $\boxed{\text{4 square units}}$.- Shape F:
Count the whole squares.
There are 2 whole squares.Count parts that are half a square or bigger.
There are 2 parts that are exactly half a square (one on each end).Sum the counts.
Area $= 2 + 2 = 4$ square units. The area of Shape F is $\boxed{\text{4 square units}}$.- Shape G:
Count the whole squares.
There is 1 whole square (in the center).Count parts that are half a square or bigger.
There are 4 parts that are exactly half a square (the four triangles pointing outwards).Sum the counts.
Area $= 1 + 4 = 5$ square units. The area of Shape G is $\boxed{\text{5 square units}}$.- Shape H:
Count the whole squares.
There are 4 whole squares.Count parts that are half a square or bigger.
There are 0 such parts.Sum the counts.
Area $= 4 + 0 = 4$ square units. The area of Shape H is $\boxed{\text{4 square units}}$.- Shape I:
Count the whole squares.
There are 0 whole squares.Count parts that are half a square or bigger.
There are 4 parts that are exactly half a square (the four triangles).Sum the counts.
Area $= 0 + 4 = 4$ square units. The area of Shape I is $\boxed{\text{4 square units}}$.- Shape J:
Count the whole squares.
There is 1 whole square (in the center).Count parts that are half a square or bigger.
There are 4 parts that are exactly half a square (the four triangles pointing outwards).Sum the counts.
Area $= 1 + 4 = 5$ square units. The area of Shape J is $\boxed{\text{5 square units}}$.
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