Question 1179494
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(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.<br>
(2) The remaining 5 pieces cover the other half of the whole square; the sum of their areas is 1/2.<br>
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.
(a) the area of each of the two smallest triangles is x
(b) the area of the middle size triangle is 2x
(c) the area of the square is also 2x
(d) the area of the parallelogram is also 2x<br>
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.<br>
ANSWERS:
each large triangle: area 1/4
middle size triangle, square, and parallelogram: area 2x=2/16=1/8 each
smallest triangles: x=1/16 each<br>