document.write( "Question 1179494: Think of the area of the entire tangram shape as equal to 1 square unit. What are the area measurements of each fractional piece? \n" ); document.write( "

Algebra.Com's Answer #809057 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "(1) The two largest triangles cover half of the whole square; the area of each of them is half of the area of half of the whole square: half of a half of 1 is 1/4.

\n" ); document.write( "(2) The remaining 5 pieces cover the other half of the whole square; the sum of their areas is 1/2.

\n" ); document.write( "Let the area of each of the smallest triangles be x; then picture cutting up the remaining pieces into pieces the size and shape of that smallest triangle.
\n" ); document.write( "(a) the area of each of the two smallest triangles is x
\n" ); document.write( "(b) the area of the middle size triangle is 2x
\n" ); document.write( "(c) the area of the square is also 2x
\n" ); document.write( "(d) the area of the parallelogram is also 2x

\n" ); document.write( "The total area of those pieces is 8x; since together they cover half of the whole square, x is one-eighth of one half, or 1/16.

\n" ); document.write( "ANSWERS:
\n" ); document.write( "each large triangle: area 1/4
\n" ); document.write( "middle size triangle, square, and parallelogram: area 2x=2/16=1/8 each
\n" ); document.write( "smallest triangles: x=1/16 each

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