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Lesson 23 · Composite floors
Friendly shapes holding hands
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Friendly shapes holding hands

Nobody prints a formula for THIS floor — and nobody needs to. Every odd floor is friendly shapes holding hands: slice it into rectangles, triangles and half-circles, work each piece, and add. A hole works the same way backwards: find the cut-out's area and SUBTRACT it. The slicing plan is the math; the arithmetic just follows.

And guess before you compute — one quick “is this closer to 4, 40 or 400 square metres?” A bedroom is ten-something; a classroom is fifty-ish; a gym is hundreds. Five seconds of guessing catches the doubled triangle and the un-subtracted hole before they cost you marks.

Alw

A=l⋅wA = l \cdot w

  • AA= Area (area)
  • ll= Length (length)
  • ww= Width (length)
Rectangle Area solver →
bhA

A=12bhA = \tfrac{1}{2} b h

  • AA= Area (area)
  • bb= Base (length)
  • hh= Height (length)
Area of a Triangle solver →
rA

A=πr2A = \pi r^{2}

  • AA= Area (area)
  • rr= Radius (length)
Area of a Circle solver →