Math Problem Statement
resolve the image
Solution
The diagram shows a trapezoid-shaped playground with two heights and a base. We can divide the playground into two shapes: a rectangle and a triangle. Let's calculate the area step by step:
Step 1: Identify the dimensions
- The top portion is a triangle with a height of 6 meters and a base of 16 meters.
- The lower portion is a rectangle with a height of 8 meters and a width of 20 meters.
Step 2: Calculate the area of the triangle
The formula for the area of a triangle is:
Step 3: Calculate the area of the rectangle
The formula for the area of a rectangle is:
Step 4: Calculate the total area
Now, add the areas of the triangle and the rectangle:
Thus, the total area of the playground is 208 m².
Would you like any further explanation or details? Here are some related questions:
- How is the area of a trapezoid directly calculated?
- What is the perimeter of this playground?
- How does changing the height of the triangle affect the area?
- How would you find the area if the shape was irregular?
- What other real-world situations involve calculating areas like this?
Tip: Dividing complex shapes into simpler ones (e.g., rectangles and triangles) makes it easier to calculate areas accurately.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area
Composite Shapes
Trapezoids
Formulas
Area of Triangle = 1/2 * base * height
Area of Rectangle = width * height
Theorems
-
Suitable Grade Level
Grades 6-8
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