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Geometric Figures: Perimeter, Area, Volume Calculations with Algebraic Expressions

Learn how to calculate perimeter, area, and volume in geometric figures using algebraic expressions. Discover formulas for rectangles, squares, circles, triangles, parallelograms, and cylinders. Practice solving for measures with step-by-step examples.

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Geometric Figures: Perimeter, Area, Volume Calculations with Algebraic Expressions

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  1. Perimeter, Area, and Volume 3102.4.1    Using algebraic expressions solve for measures in geometric figures as well as for perimeter, area, and volume.

  2. PERIMETER To find the perimeter of a rectangle or square use the appropriate formula or just add up the length of the sides! rectangle square P= 2w + 2l P=4s

  3. Find the perimeter of the rectangle 8 P = 2w+2l P = 2(5)+2(8) P = 10 + 16 P = 26 5 5 8

  4. Find the perimeter of the irregular figure. Just add up all the sides P=5+5+3+3+8 P=24 8 5 5 3 3

  5. Formulas for FINDING AREA Circle Triangle Rectangle Parallelogram

  6. Find the area of a circle 6

  7. Find the area of a Triangle A= b h A= (10)(7) 7 10 A= 35

  8. A= lw A= (25)(7) A= 175 Find the area of a Rectangle 25 7

  9. A= bh A=(7)(4) A= 28 Finding the area of a parallelogram 4 7

  10. V= lwh V=(3)(6)(4) V=72 FINDING VOLUME 4 6 3

  11. Finding the volume of a cylinder 5 12 V= 942.48

  12. A = lw A = (x+5)(2x) A = 2x2+10x Use Algebraic Expressions Find the area first! 2x Now find the perimeter! x + 5 P = 2l + 2w P = 2(x+5) + 2(2x) P = 2x+10 + 4x P = 6x+10

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