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Area of mixed shapes worksheet with six figures including triangles, squares, rectangles, trapezoids, and parallelograms, each with given dimensions for area calculation.

Worksheet titled "Area - Mixed Shapes" with six geometric figures (triangle, square, rectangle, triangle, trapezoid, parallelogram) each labeled with dimensions and a blank "Area =" line for calculation.

Worksheet titled "Area - Mixed Shapes" with six geometric figures (triangle, square, rectangle, triangle, trapezoid, parallelogram) each labeled with dimensions and a blank "Area =" line for calculation.

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Show Answer Key & Explanations Step-by-step solution for: Area of Mixed Shapes by Emillion Thoughts worksheets library
Explanation:
We are asked to find the area of six different shapes. Let’s go one by one, using the correct formulas.

1) Triangle
Base = 16 in, Height = 12 in
Area of triangle = (base × height) ÷ 2
= (16 × 12) ÷ 2 = 192 ÷ 2 = 96 in²

2) Square
Side = 10 ft
Area of square = side × side = 10 × 10 = 100 ft²

3) Rectangle
Length = 8 m, Width = 5 m
Area = length × width = 8 × 5 = 40 m²

4) Triangle
Base = 5 in, Height = 10 in
Area = (5 × 10) ÷ 2 = 50 ÷ 2 = 25 in²

5) Trapezoid
Top base = 5 ft, Bottom base = 12 ft, Height = 10 ft
Area of trapezoid = (top + bottom) × height ÷ 2
= (5 + 12) × 10 ÷ 2 = 17 × 10 ÷ 2 = 170 ÷ 2 = 85 ft²

6) Parallelogram
Base = 12 ft, Height = 7 ft
Area = base × height = 12 × 7 = 84 ft²

Let me double-check each:

1) 16×12=192 → ÷2 = 96 ✔
2) 10×10=100 ✔
3) 8×5=40 ✔
4) 5×10=50 → ÷2 = 25 ✔
5) (5+12)=17; 17×10=170; ÷2=85 ✔
6) 12×7=84 ✔

All correct.

Final Answer:
1) 96 in²
2) 100 ft²
3) 40 m²
4) 25 in²
5) 85 ft²
6) 84 ft²
Parent Tip: Review the logic above to help your child master the concept of area mixed shapes worksheet.
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