What is the area of rhombus abcd? enter your answer in the box. do not round at any steps. put the answer in units²

Therefore the Area of Rhombus ABCD is 36 unit².

Step-by-step explanation:

Given:

ABCD is a Rhombus

A = (-1,0)

B = (5,-3)

C = (-1,-6)

D = (-7 ,-3)

To Find:

Area of Rhombus ABCD = ?

Solution:

We know that Area of Rhombus is given as

Where ,

d₁ and d₂ are the Diagonals.

We have,

Diagonals as AC and BD,

Using Distance Formula we get

Substituting coordinates A and C we get

Similarly for BD we have,

Now Substituting AC and BD in Formula we get

Therefore the Area of Rhombus ABCD is 36 unit².

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