Use the distance formula to find the area of the rectangle

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area=

Therefore Area of Rectangle is 50 unit².

Step-by-step explanation:

Given:

Let the vertices of a Rectangle be

A ( -1 , 7)

B ( 4 , -3)

C ( 0 , -5)

D ( -5 ,5)

To Find:

Area of Rectangle ABCD = ?

Solution:

First we will find the Length and Width of Rectangle by Distance Formula ,

Substituting the values we get

Similarly for BC we will have,

Now

Now Area of Rectangle is given by

Substituting the values we get

Therefore Area of Rectangle is 50 unit².