What is the area in square inches of this quadrilateral

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Question:

What is the area in square inches of this quadrilateral

Answers

Answer:G, 160 in^2Step-by-step explanation:Let us start with the general equation to find the area of this quadrilateral, which is noticably a rhombus, [tex]A=\frac{d_1d_2}{2}[/tex], where the two d represent the two diagonals of the rhombus.Notice that the longer diagonal consists of two 10in. portions. Let's add them up to find the total length:[tex]10+10=20[/tex]in.Now let's find the smaller diagonal consisting of two 8 in. portions:[tex]8+8=16[/tex]in.Great! Let's plug in to solve for the area:[tex]A=\frac{20*16}{2} \\A=\frac{320}{2} \\A=160[/tex]Therefore, the area of the quadrilateral is G, 160 in^2.I hope this helps! Let me know if you have any questions :)

Answer:160 in²Step-by-step explanation:20 * 16 / 2if we wouldn't devide with 2, we would calculate the rectangle around the quadrilateral

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