Question

A rectangular A4 size paper is kept on cartesian plane coinciding the points $(3,0),(-1,0),(0,-2)$. Find the area of the paper in sq. units.

• A. $12$
• B. $8$
• C. $16$
• D. $10$

Answer 1

The correct option is B $8$

Given points $A(3,0),B(-1,0),C(0,-2)$

Side AB(by distance formula)

$AB=\sqrt{(3+1{)}^2+0}$

$AB=4$

$BC=\sqrt{(-1-0{)}^2+(0+2{)}^2}$

$BC=\sqrt{5}$

area$=AB\times BC$

area$=4\times \sqrt{5}$

area$=8.9=8$(approx)