Question

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

• A. $10$ Units
• B. $16$ Units
• C. $9$ Units
• D. $12$ Units

Answer 1

The correct option is D $12$ Units

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

Side AB(by distance formula)

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

$AB=4$

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

$BC=\sqrt{5}$

perimeter$=2(AB+BC)$

perimeter$=2(4+\sqrt{5})$

perimeter$=12.47=12units$(approx)