Question

Given that the points (-1, 5) and (2, 1) are vertices of a rectangle with sides parallel to the axes, how much longer is the length than the width? A) 1 unit B) 2 units C) 3 units D) 4 units

Answer 1

Correct choice is A

Explanation:

Two vertices of the rectangle have coordinates A(-1, 5) and B(2, 1). If rectangle sides are parallel to the axes, then two remaining vertices have coordinates C(-1,1) and D(2,5) (see attached diagram for details).

Find the length and the width:

`AC=√((-1-(-1))^2+(5-1)^2)=4\ units,\\ \\AD=√((2-(-1))^2+(5-5)^2)=3\ units.`

Then the length is 1 unit longer than the width.