The Statements Below Represent Illustrations of Various Relationships Between the Area

question 17

Multiple Choice

The statements below represent illustrations of various relationships between the area formulas? Identify the one that is NOT represented correctly.

• 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,½ h (b1 +b2).

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