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Perimeter and Area Formulas of Shapes chart from MathCenter, featuring geometric figures and their corresponding formulas.

A chart displaying perimeter and area formulas for various shapes including square, rectangle, triangle, parallelogram, rhombus, trapezoid, kite, and circle, with illustrations and mathematical expressions.

A chart displaying perimeter and area formulas for various shapes including square, rectangle, triangle, parallelogram, rhombus, trapezoid, kite, and circle, with illustrations and mathematical expressions.

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Show Answer Key & Explanations Step-by-step solution for: PERIMETER AND AREA FORMULAS OF SHAPES | Learning Pages | Math Center
It looks like you've uploaded an image that contains a chart of perimeter and area formulas for common geometric shapes. However, there is no specific problem or task presented in the image — it's just a reference table.

Here’s what the chart includes:

| Shape | Name | Perimeter Formula | Area Formula |
|--------------|----------------|------------------------|----------------------|
| 🔲 | Square | \( 4a \) | \( a^2 \) |
| 🔲 | Rectangle | \( 2(a + b) \) | \( ab \) |
| 🔺 | Triangle | \( a + b + c \) | \( \frac{ch}{2} \) |
| 🔷 | Parallelogram | \( 2(a + b) \) | \( bh \) |
| 🔶 | Rhombus | \( 4a \) | \( \frac{cd}{2} \) |
| 🔹 | Trapezoid | \( a + b + c + d \) | \( \frac{(b + d)h}{2} \) |
| 🪄 | Kite | \( 2(a + b) \) | \( \frac{cd}{2} \) |
| ⭕ | Circle | \( 2\pi r \) | \( \pi r^2 \) |

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Explanation of Formulas:



1. Square:
- All sides are equal: \( a \)
- Perimeter = \( 4a \)
- Area = \( a^2 \)

2. Rectangle:
- Sides: length \( a \), width \( b \)
- Perimeter = \( 2(a + b) \)
- Area = \( ab \)

3. Triangle:
- Sides: \( a, b, c \); height \( h \) from base \( c \)
- Perimeter = sum of all sides
- Area = \( \frac{\text{base} \times \text{height}}{2} = \frac{ch}{2} \)

4. Parallelogram:
- Base \( b \), height \( h \), side lengths \( a, b \)
- Perimeter = \( 2(a + b) \)
- Area = \( bh \)

5. Rhombus:
- All sides equal: \( a \)
- Diagonals: \( c \) and \( d \)
- Perimeter = \( 4a \)
- Area = \( \frac{c \cdot d}{2} \)

6. Trapezoid:
- Two parallel bases: \( b \) and \( d \), height \( h \), other two sides \( a, c \)
- Perimeter = sum of all sides
- Area = \( \frac{(b + d)h}{2} \)

7. Kite:
- Two pairs of adjacent equal sides: \( a, a \), \( b, b \)
- Diagonals: \( c \), \( d \)
- Perimeter = \( 2(a + b) \)
- Area = \( \frac{c \cdot d}{2} \)

8. Circle:
- Radius \( r \)
- Perimeter (Circumference) = \( 2\pi r \)
- Area = \( \pi r^2 \)

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Possible Use Case:


This chart is likely meant to be a study guide or reference tool for students learning geometry. It helps them quickly recall formulas for different shapes.

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If you have a specific problem involving one of these shapes (e.g., "Find the area of a rectangle with length 5 and width 3"), please provide it, and I’ll solve it step-by-step using this chart!

Let me know how I can help further! 😊
Parent Tip: Review the logic above to help your child master the concept of area of all shapes.
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(view all area of all shapes)

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