Answer:
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.
6.75 because 6 is the whole number so it won't change and if you do 3 divided by 4 you get .75
The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )
For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4
and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.
Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)
The distance formula is just the Pythagorean Theorem applied to an x-y graph.
You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.