Question

What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.

Answer 1

The area of the Rhombus is 162√3 sq.unit , Option A is the correct answer.

What is a Rhombus ?

A rhombus is a polygon , which has four equal sides , its diagonal bisect each other at 90 degree.

Let x be the half of the other diagonal.

tan 60 = x / 9

x = 9 tan 60

x = 9√3

Area of the Rhombus = (d1 * d2 /2 )

d1 and d2 are the length of the diagonal.

Area of the Rhombus = (9*2)(2 *9√3)/2

Area of the Rhombus =162√3 sq.unit

To know more about Rhombus

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