Home
Class 10
MATHS
If a rectangle ABCD has vertices A (2, 6...

If a rectangle ABCD has vertices A (2, 6), B (6, 2), C (3, -1), and D (-1, 3), taken in order, then what is the perimeter of the rectangle?

A

`16sqrt(3)` units

B

`14sqrt(2)` units

C

`12sqrt(2)` units

D

`11sqrt(2)` units

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Consider a parallelogram whose vertices are A (1, 2), B (4, y), C (x, 6) and D (3, 5) taken in order. What is the area of the parallelogram ?

Consider a parallelogram whose vertices are A (1, 2), B (4, y), C (x, 6) and D (3, 5) taken in order. What is the value of AC^(2)-BD^(2) ?

Show that the points (1, 1), (-1, 5), (7, 9) and (9, 5) taken in that order are the vertices of a rectangle.

Prove that the diagonals of a rectangle ABCD with vertices A(2, -1), B(5, -1), C(5, 6) and D(2, 6) are equal and bisect each other.

Three vertices of a rectangle ABCD are A(3, 1), B(-3, 1) and C(-3, 3) . Plot these points on a graph paper and find the coordinates of the fourth vertex D. Also, find the area of rectangle ABCD.

Show that the points A(2, 1), B(5, 2), C(6, 4) and D(3, 3) are the angular points of a parallelogram. Is this figure a rectangle?

The three vertices of a rectangle ABCD are A(2, 2), B(-3, 2) and C(-3, 5) . Plot these points on a graph paper and find the coordinates of D. Also, find the area of rectangle ABCD .

Show that the points A(3, 5), B(6, 0), C(1, -3) and D(-2, 2) are the vertices of a square ABCD.