Option A - 1 Unit
Step-by-step explanation:
Step 1 :
Given the 2 vertices of the rectangle are (-1,5) and (2, 1) and the sides are parallel to the axes
Let A = (-1,5) and C = (2, 1)
Step 2 :
The x co- ordinate of A is -1 and y co-ordinate is 5
The x co- ordinate of A is 2 and y co-ordinate is 1
Let B and D be the other 2 vertices of the rectangle.
B is the intersection of the line drawn from A and the perpendicular drawn from the point C. Side AB is parallel to the axis -x and side BC is parallel to axis y
Hence the point B will have the x co-ordinate of the point A and the Y co ordinate of the point C which is (2,5) .
Similarly, D is the intersection of line drawn from C and perpendicular drawn from point A. Side CD is parallel to the axis x and side AD is parallel to axis y
Hence the point D will have the x co-ordinate of the point C and the Y co ordinate of the point A which is (-1,1).
Step 3:
Hence the 4 vertices of the rectangle are
A (-1,5) B(2,5), C(2,1) and D(-1,1)
Length of side AB is 2-(-1) = 3 units
Length of side BC is 5 - 1 = 4 units.
Hence the rectangle's length will be 4 units and rectangle's width will be 3 units
So, the length is 1 unit longer than the width.
