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Question
Which is NOT an illustration of the relationships between the various area formulas?a) A rectangle can be cut along a diagonal line and rearranged to form a non-rectangular parallelogram. Therefore the two shapes have the same formula.
b) A rectangle can be cut in half to produce two congruent triangles. Therefore, the formula for a triangle is like that for a rectangle, but the product of the base length and height must be cut in half.
c) The area of a shape made up of several polygons (a compound figure) is found by adding the sum of the areas of each polygon.
d) Two congruent trapezoids placed together always form a parallelogram with the same height and a base that has a length equal to the sum of the trapezoid bases. Therefore, the area of a trapezoid is equal to half the area of that giant parallelogram, 1/2h(b1+b2).
Answer
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