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The area of a parallelogram can be calculated using the formula: Show more…
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Think of a parallelogram made with cardboard strips and hinged at each vertex so that the measure of $\angle C$ will vary. Find the area of the parallelogram for each measure of $\angle C$ given in parts $(a)-(e)$ $$ \begin{array}{lllll}{\text { a. } 30} & {\text { b. } 45} & {\text { c. } 60} & {\text { d. } 90} & {\text { e. } 120}\end{array} $$ f. Approximate your answers to parts (b), (c), and (e) by using $\sqrt{2} \approx 1.4$ and $\sqrt{3} \approx 1.7 .$ Then record your answers to parts (a)-(e) on a set of axes like one below.
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The diagram shows a shaded parallelogram drawn inside a rectangle. a) What is the area of the rectangle? b) What is the area of triangle A? c) What is the area of triangle B? d) What is the area of the parallelogram?
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