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

B is correct ✌️ I’m just trying to get 20 characters for my answer...

Identify the area of the rhombus. the answer with

mariannarodriguez123

03.01.2022

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

Step-by-step explanation:

Look at the picture.

The formula of an area of a rhombus:

$A+\dfrac{d_1d_2}{2}$

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

$x^2=64\to x=\sqrt{64}\\\\x=8\ cm$

d₂ = (2)(8) = 16 cm.

Substitute:

$A=\dfrac{(30)(16)}{2}=(30)(8)=240$

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