Two sides of a square lie on the straight lines:-
\[2x+3y+7=0\]
And
\[2x+3y+11=0\]
What is the area of the square?
+128408 We just need to find the distance between the lines ....this will be the side of the square
It's possible to derive this with a little work, but I prefer to use a formula to calculate the distance between parallel lines
We have the forms
Ax + By + C1 = 0
Ax + By + C2 = 0
The distance is given by
l C1 -C2 l l 7 - 11 l 4
_______________ = ______________ = ________
sqrt ( A^2 + B^2) sqrt ( 2^2 + 3^2) sqrt (13)
Area of the square = side^2 = ( 4/ sqrt (13) )^2 = 16/13 units^2
