Question

What is the area of the rectangle?

Answer 1

Answer:

D

Step-by-step explanation:

Please look at the attached picture for full solution.

Method 1 is using the shoelace method to find the area of the rectangle. Shoelace method can be used to find the areas of any polygons given their coordinates. The coordinates have to be taken in an anticlockwise order and ending with the first coordinate.

Method 2 is making use of the distance formula of two points. The formula is as shown below:

$\sqrt{(x1 - x2) ^{2} + (y1 - y2)^{2} }$

Having found the distance of the length and breadth of the rectangle, you can now find its area since area of rectangle= length × breadth.