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4. Enter the total area of the figure ABCD in square centimeters 8 cm А 6 cm F C 15 cm 8 cm D O 268 O 336 168 O 37

4. Enter the total area of the figure ABCD in square centimeters 8 cm А 6 cm F C 15 cm-example-1

1 Answer

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The figure ABCD has the shape of a Rhombus with diagonals AC and BD.

To determine the area of a Rhombus you have to multiply the length of both diagonals and divide the result by 2, following the formula:


A=(pq)/(2)

Where

p represents the horizontal diagonal

q represents the vertical diagonal

For the quadrilateral ABCD, the lengths of the diagonals are:

AC=6cm + 15cm =21cm

BD= 8cm + 8cm=16cm


\begin{gathered} A=(AC\cdot BD)/(2) \\ A=(21\cdot16)/(2) \\ A=(336)/(2) \\ A=168\operatorname{cm}^2 \end{gathered}

The area of the figure is 168cm²

User Adam Cadien
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