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Identify the area of the rhombus. The answer with the red arrow is incorrect!

Identify the area of the rhombus. The answer with the red arrow is incorrect!-example-1

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Answer:


\large\boxed{A=240\ cm^2}

Explanation:

Look at the picture.

The formula of an area of a rhombus:


A+(d_1d_2)/(2)

d₁, d₂ - diagonals

We have d₁ = 30 cm.

Use the Pythagorean theorem to calculate d₂ = 2x.


x^2+15^2=17^2


x^2+225=289 subtract 225 from both sides


x^2=64\to x=√(64)\\\\x=8\ cm

d₂ = (2)(8) = 16 cm.

Substitute:


A=((30)(16))/(2)=(30)(8)=240

Identify the area of the rhombus. The answer with the red arrow is incorrect!-example-1
User Makesha
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