ABCD is a rectangle with B(−5,0),C(7,0) and D(7,3). What are the coordinates of A?

2 Answers
G_Ozdilek
Aug 26, 2016

A(-5, 3)

Explanation:

Since AB is parallel to CD and further AD is parallel to BC, We can easily find the coordinates of A as (-5, 3).

AB distance = CD distance = 3 units
BC distance = AD distance = 12 units

Area of this rectangle is 36 units2
Perimeter of this rectangle is 30 units.

P dilip_k
Jul 21, 2017

Let the coordinates of A be (x,y)
Since ABCD is a rectangle, its diagonals ACandBD will bisect each other.
The coordinates of mid point of BD=(−5+72,0+32)=(1,1.5)

And the coordinates of mid point of AC=(x+72,y+02)

So

x+72=1

⇒x=−5

again

y+02=1.5

⇒y=3

Hence the coordinates of A will be (−5,3)

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