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What Are the Perimeter and Area Formulas for Common Quadrilaterals?

Sure! Let’s jump into the fun world of quadrilaterals and their formulas!

Quadrilaterals are shapes with four sides. They can look different and come in various sizes. Knowing how to find their perimeter and area is very important in geometry. Let’s make it easy to understand!

Common Quadrilaterals and Their Formulas

  1. Rectangle

    • Perimeter (P):
      • To find the perimeter, use this formula:
      • P = 2(length + width)
      • Here, "length" is how long the rectangle is, and "width" is how wide it is.
    • Area (A):
      • To find the area, use this formula:
      • A = length × width
  2. Square

    • Perimeter (P):
      • For a square, the formula is:
      • P = 4(side)
      • Here, "side" is the length of one of its sides.
    • Area (A):
      • To find the area, use:
      • A = side × side or A = side²
  3. Parallelogram

    • Perimeter (P):
      • Use this formula to find the perimeter:
      • P = 2(base1 + base2)
      • "Base1" and "base2" are the lengths of the two sides at the bottom.
    • Area (A):
      • The area formula is:
      • A = base × height
      • "Height" is the straight-up distance from the bottom to the top.
  4. Rhombus

    • Perimeter (P):
      • For a rhombus, use this formula:
      • P = 4(side)
      • Again, "side" is the length of one side.
    • Area (A):
      • The area is found with:
      • A = (1/2) × diagonal1 × diagonal2
      • "Diagonal1" and "diagonal2" are the two lines that cross inside the shape.
  5. Trapezoid

    • Perimeter (P):
      • To find the perimeter, add up all the sides:
      • P = side1 + side2 + side3 + side4
      • Here, "side1," "side2," "side3," and "side4" are the lengths of each side.
    • Area (A):
      • The area formula is:
      • A = (1/2) × (base1 + base2) × height
      • "Base1" and "base2" are the lengths of the two parallel sides, and "height" is the straight-up distance.

By understanding these formulas, you can feel more confident when solving geometry problems. Plus, you’ll start to see how beautiful these shapes are in the world around you! Keep practicing! 🌟

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What Are the Perimeter and Area Formulas for Common Quadrilaterals?

Sure! Let’s jump into the fun world of quadrilaterals and their formulas!

Quadrilaterals are shapes with four sides. They can look different and come in various sizes. Knowing how to find their perimeter and area is very important in geometry. Let’s make it easy to understand!

Common Quadrilaterals and Their Formulas

  1. Rectangle

    • Perimeter (P):
      • To find the perimeter, use this formula:
      • P = 2(length + width)
      • Here, "length" is how long the rectangle is, and "width" is how wide it is.
    • Area (A):
      • To find the area, use this formula:
      • A = length × width
  2. Square

    • Perimeter (P):
      • For a square, the formula is:
      • P = 4(side)
      • Here, "side" is the length of one of its sides.
    • Area (A):
      • To find the area, use:
      • A = side × side or A = side²
  3. Parallelogram

    • Perimeter (P):
      • Use this formula to find the perimeter:
      • P = 2(base1 + base2)
      • "Base1" and "base2" are the lengths of the two sides at the bottom.
    • Area (A):
      • The area formula is:
      • A = base × height
      • "Height" is the straight-up distance from the bottom to the top.
  4. Rhombus

    • Perimeter (P):
      • For a rhombus, use this formula:
      • P = 4(side)
      • Again, "side" is the length of one side.
    • Area (A):
      • The area is found with:
      • A = (1/2) × diagonal1 × diagonal2
      • "Diagonal1" and "diagonal2" are the two lines that cross inside the shape.
  5. Trapezoid

    • Perimeter (P):
      • To find the perimeter, add up all the sides:
      • P = side1 + side2 + side3 + side4
      • Here, "side1," "side2," "side3," and "side4" are the lengths of each side.
    • Area (A):
      • The area formula is:
      • A = (1/2) × (base1 + base2) × height
      • "Base1" and "base2" are the lengths of the two parallel sides, and "height" is the straight-up distance.

By understanding these formulas, you can feel more confident when solving geometry problems. Plus, you’ll start to see how beautiful these shapes are in the world around you! Keep practicing! 🌟

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